101010050033013 has 48 divisors (see below), whose sum is σ = 159612972769536. Its totient is φ = 61046858286720.

The previous prime is 101010050032999. The next prime is 101010050033089. The reversal of 101010050033013 is 310330050010101.

101010050033013 is a `hidden beast` number, since 10 + 10 + 100 + 500 + 3 + 30 + 13 = 666.

It is not a de Polignac number, because 101010050033013 - 2²⁰ = 101010048984437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010050031013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320257956 + ... + 320573202.

It is an arithmetic number, because the mean of its divisors is an integer number (3325270266032).

Almost surely, 2^{101010050033013} is an apocalyptic number.

It is an amenable number.

101010050033013 is a deficient number, since it is larger than the sum of its proper divisors (58602922736523).

101010050033013 is a wasteful number, since it uses less digits than its factorization.

101010050033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324314 (or 324311 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The spelling of 101010050033013 in words is "one hundred one trillion, ten billion, fifty million, thirty-three thousand, thirteen".