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1310003210113 = 13101997717601
BaseRepresentation
bin10011000100000010010…
…001101010011110000001
311122020100101011011210121
4103010002101222132001
5132430341310210423
62441450203100241
7163434046363303
oct23040221523601
94566311134717
101310003210113
11465629729a94
12191a79511681
13966c0669a90
1447593d05973
152412221945d
hex1310246a781

1310003210113 has 8 divisors (see below), whose sum is σ = 1424740735656. Its totient is φ = 1197261120000.

The previous prime is 1310003210053. The next prime is 1310003210129. The reversal of 1310003210113 is 3110123000131.

It can be written as a sum of positive squares in 4 ways, for example, as 755705091969 + 554298118144 = 869313^2 + 744512^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1310003210113 - 229 = 1309466339201 is a prime.

It is a super-2 number, since 2×13100032101132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310003210713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498857488 + ... + 498860113.

It is an arithmetic number, because the mean of its divisors is an integer number (178092591957).

Almost surely, 21310003210113 is an apocalyptic number.

1310003210113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310003210113 is a deficient number, since it is larger than the sum of its proper divisors (114737525543).

1310003210113 is a wasteful number, since it uses less digits than its factorization.

1310003210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997717715.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1310003210113 its reverse (3110123000131), we get a palindrome (4420126210244).

The spelling of 1310003210113 in words is "one trillion, three hundred ten billion, three million, two hundred ten thousand, one hundred thirteen".

Divisors: 1 13 101 1313 997717601 12970328813 100769477701 1310003210113