102113202031013 has 16 divisors (see below), whose sum is σ = 107663048169600. Its totient is φ = 96658077574080.

The previous prime is 102113202030991. The next prime is 102113202031031. The reversal of 102113202031013 is 310130202311201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102113202031013 - 2²⁰ = 102113200982437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113202021013) 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, 23078558 + ... + 27144911.

It is an arithmetic number, because the mean of its divisors is an integer number (6728940510600).

Almost surely, 2^{102113202031013} is an apocalyptic number.

It is an amenable number.

102113202031013 is a deficient number, since it is larger than the sum of its proper divisors (5549846138587).

102113202031013 is a wasteful number, since it uses less digits than its factorization.

102113202031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50224412.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102113202031013 its reverse (310130202311201), we get a palindrome (412243404342214).

The spelling of 102113202031013 in words is "one hundred two trillion, one hundred thirteen billion, two hundred two million, thirty-one thousand, thirteen".