100013020310 has 32 divisors (see below), whose sum is σ = 209113883712. Its totient is φ = 33728042880.

The previous prime is 100013020241. The next prime is 100013020339. The reversal of 100013020310 is 13020310001.

It is a super-2 number, since 2×100013020310² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100013020291 and 100013020300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11706857 + ... + 11715396.

It is an arithmetic number, because the mean of its divisors is an integer number (6534808866).

Almost surely, 2^100013020310 is an apocalyptic number.

100013020310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013020310 is an abundant number, since it is smaller than the sum of its proper divisors (109100863402).

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

100013020310 is a wasteful number, since it uses less digits than its factorization.

100013020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23422328.

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

Adding to 100013020310 its reverse (13020310001), we get a palindrome (113033330311).

The spelling of 100013020310 in words is "one hundred billion, thirteen million, twenty thousand, three hundred ten".