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1031321201313 = 3131922312172617
BaseRepresentation
bin11110000000111111000…
…10001010101010100001
310122121000112210022100010
433000133202022222201
5113344121211420223
62105441000315133
7134340046366524
oct17003742125241
93577015708303
101031321201313
11368420a28037
12147a63472aa9
137633a2aca60
1437cb8130bbb
151bc6136c393
hexf01f88aaa1

1031321201313 has 96 divisors (see below), whose sum is σ = 1632830766336. Its totient is φ = 574422368256.

The previous prime is 1031321201243. The next prime is 1031321201347. The reversal of 1031321201313 is 3131021231301.

It is a happy number.

It is not a de Polignac number, because 1031321201313 - 233 = 1022731266721 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031321201313.

It is not an unprimeable number, because it can be changed into a prime (1031321271313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394083981 + ... + 394086597.

It is an arithmetic number, because the mean of its divisors is an integer number (17008653816).

Almost surely, 21031321201313 is an apocalyptic number.

1031321201313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1031321201313 is a deficient number, since it is larger than the sum of its proper divisors (601509565023).

1031321201313 is a wasteful number, since it uses less digits than its factorization.

1031321201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1031321201313 its reverse (3131021231301), we get a palindrome (4162342432614).

The spelling of 1031321201313 in words is "one trillion, thirty-one billion, three hundred twenty-one million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 13 19 23 39 57 69 247 299 361 437 741 897 1083 1217 1311 2617 3651 4693 5681 7851 8303 14079 15821 17043 23123 24909 27991 34021 47463 49723 60191 69369 83973 102063 107939 149169 180573 300599 323817 363883 439337 531829 646399 782483 901797 944737 1091649 1143629 1318011 1595487 1939197 2347449 2834211 3184889 3430887 5711381 6913777 9554667 10104751 12281581 14867177 17134143 20741331 21728951 30314253 36844743 41403557 44601531 60512891 65186853 73252447 124210671 131361763 181538673 219757341 282476363 394085289 786667583 847429089 952281811 1149744929 1391796493 2360002749 2856845433 3449234787 4175389479 14946684077 18093354409 26444133367 44840052231 54280063227 79332400101 343773733771 1031321201313