100131020313013 has 64 divisors (see below), whose sum is σ = 109266970982400. Its totient is φ = 91539228856320.

The previous prime is 100131020313001. The next prime is 100131020313043. The reversal of 100131020313013 is 310313020131001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131020313013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131020313043) 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 63 ways as a sum of consecutive naturals, for example, 2596133593 + ... + 2596172161.

It is an arithmetic number, because the mean of its divisors is an integer number (1707296421600).

Almost surely, 2^{100131020313013} is an apocalyptic number.

It is an amenable number.

100131020313013 is a deficient number, since it is larger than the sum of its proper divisors (9135950669387).

100131020313013 is a wasteful number, since it uses less digits than its factorization.

100131020313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39070.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100131020313013 its reverse (310313020131001), we get a palindrome (410444040444014).

The spelling of 100131020313013 in words is "one hundred trillion, one hundred thirty-one billion, twenty million, three hundred thirteen thousand, thirteen".