100330012004013 has 64 divisors (see below), whose sum is σ = 162885012111360. Its totient is φ = 60530284324800.

The previous prime is 100330012004009. The next prime is 100330012004021. The reversal of 100330012004013 is 310400210033001.

It is not a de Polignac number, because 100330012004013 - 2² = 100330012004009 is a prime.

It is a super-2 number, since 2×100330012004013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330012004093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2560007248 + ... + 2560046438.

It is an arithmetic number, because the mean of its divisors is an integer number (2545078314240).

Almost surely, 2^{100330012004013} is an apocalyptic number.

It is an amenable number.

100330012004013 is a deficient number, since it is larger than the sum of its proper divisors (62555000107347).

100330012004013 is a wasteful number, since it uses less digits than its factorization.

100330012004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78087 (or 78081 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100330012004013 its reverse (310400210033001), we get a palindrome (410730222037014).

The spelling of 100330012004013 in words is "one hundred trillion, three hundred thirty billion, twelve million, four thousand, thirteen".