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1312300131321 = 313920543153191
BaseRepresentation
bin10011000110001011001…
…011101110001111111001
311122110021110012212100110
4103012023023232033321
5133000042313200241
62442510134054533
7163545010032504
oct23061313561771
94573243185313
101312300131321
114665a8237983
121923ba7aa449
13969984a475a
1447730db213b
1524208bcd816
hex1318b2ee3f9

1312300131321 has 16 divisors (see below), whose sum is σ = 1762418810880. Its totient is φ = 868524798480.

The previous prime is 1312300131299. The next prime is 1312300131347. The reversal of 1312300131321 is 1231310032131.

It is a happy number.

It is not a de Polignac number, because 1312300131321 - 26 = 1312300131257 is a prime.

It is a super-2 number, since 2×13123001313212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312300131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8489836 + ... + 8643026.

It is an arithmetic number, because the mean of its divisors is an integer number (110151175680).

Almost surely, 21312300131321 is an apocalyptic number.

It is an amenable number.

1312300131321 is a deficient number, since it is larger than the sum of its proper divisors (450118679559).

1312300131321 is a wasteful number, since it uses less digits than its factorization.

1312300131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173876.

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

Adding to 1312300131321 its reverse (1231310032131), we get a palindrome (2543610163452).

The spelling of 1312300131321 in words is "one trillion, three hundred twelve billion, three hundred million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 139 417 20543 61629 153191 459573 2855477 8566431 21293549 63880647 3147002713 9441008139 437433377107 1312300131321