13102101203113 has 16 divisors (see below), whose sum is σ = 14161328865936. Its totient is φ = 12050219704320.

The previous prime is 13102101203089. The next prime is 13102101203159. The reversal of 13102101203113 is 31130210120131.

It can be written as a sum of positive squares in 8 ways, for example, as 1174561747984 + 11927539455129 = 1083772^2 + 3453627^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102101203113 - 2⁹ = 13102101202601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102101206113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46460745 + ... + 46741897.

It is an arithmetic number, because the mean of its divisors is an integer number (885083054121).

Almost surely, 2^{13102101203113} is an apocalyptic number.

13102101203113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13102101203113 is a deficient number, since it is larger than the sum of its proper divisors (1059227662823).

13102101203113 is a wasteful number, since it uses less digits than its factorization.

13102101203113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294204.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13102101203113 its reverse (31130210120131), we get a palindrome (44232311323244).

The spelling of 13102101203113 in words is "thirteen trillion, one hundred two billion, one hundred one million, two hundred three thousand, one hundred thirteen".