13102120131 has 16 divisors (see below), whose sum is σ = 18231682560. Its totient is φ = 8353762560.

The previous prime is 13102120117. The next prime is 13102120139.

It is a happy number.

13102120131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13102120131 - 2⁶ = 13102120067 is a prime.

It is a super-2 number, since 2×13102120131² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13102120131.

It is not an unprimeable number, because it can be changed into a prime (13102120139) 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, 940386 + ... + 954216.

It is an arithmetic number, because the mean of its divisors is an integer number (1139480160).

Almost surely, 2^13102120131 is an apocalyptic number.

13102120131 is a deficient number, since it is larger than the sum of its proper divisors (5129562429).

13102120131 is a wasteful number, since it uses less digits than its factorization.

13102120131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27586.

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 13102120131 in words is "thirteen billion, one hundred two million, one hundred twenty thousand, one hundred thirty-one".