100033013120 has 64 divisors (see below), whose sum is σ = 249538911840. Its totient is φ = 38273495040.

The previous prime is 100033013099. The next prime is 100033013153. The reversal of 100033013120 is 21310330001.

100033013120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100033013095 and 100033013104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3383141 + ... + 3412580.

Almost surely, 2^100033013120 is an apocalyptic number.

100033013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100033013120 is an abundant number, since it is smaller than the sum of its proper divisors (149505898720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100033013120 is an equidigital number, since it uses as much as digits as its factorization.

100033013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795763 (or 6795751 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100033013120 its reverse (21310330001), we get a palindrome (121343343121).

The spelling of 100033013120 in words is "one hundred billion, thirty-three million, thirteen thousand, one hundred twenty".