13102101312131 has 8 divisors (see below), whose sum is σ = 14193446121120. Its totient is φ = 12094247363016.

The previous prime is 13102101312103. The next prime is 13102101312133. The reversal of 13102101312131 is 13121310120131.

It is not a de Polignac number, because 13102101312131 - 2³⁸ = 12827223405187 is a prime.

It is a super-2 number, since 2×13102101312131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102101312133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981814215 + ... + 2981818608.

It is an arithmetic number, because the mean of its divisors is an integer number (1774180765140).

Almost surely, 2^{13102101312131} is an apocalyptic number.

13102101312131 is a deficient number, since it is larger than the sum of its proper divisors (1091344808989).

13102101312131 is an frugal number, since it uses more digits than its factorization.

13102101312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963632862 (or 5963632836 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13102101312131 its reverse (13121310120131), we get a palindrome (26223411432262).

The spelling of 13102101312131 in words is "thirteen trillion, one hundred two billion, one hundred one million, three hundred twelve thousand, one hundred thirty-one".