100310002013000 has 128 divisors (see below), whose sum is σ = 252786961365120. Its totient is φ = 37036695801600.

The previous prime is 100310002012939. The next prime is 100310002013051. The reversal of 100310002013000 is 310200013001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1122154307 + ... + 1122243693.

It is an arithmetic number, because the mean of its divisors is an integer number (1974898135665).

Almost surely, 2^{100310002013000} is an apocalyptic number.

100310002013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100310002013000 is an abundant number, since it is smaller than the sum of its proper divisors (152476959352120).

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

100310002013000 is a wasteful number, since it uses less digits than its factorization.

100310002013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175744 (or 175730 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100310002013000 its reverse (310200013001), we get a palindrome (100620202026001).

The spelling of 100310002013000 in words is "one hundred trillion, three hundred ten billion, two million, thirteen thousand".