100312131020 has 48 divisors (see below), whose sum is σ = 217111466880. Its totient is φ = 38910806784.

The previous prime is 100312131019. The next prime is 100312131043. The reversal of 100312131020 is 20131213001.

It is a junction number, because it is equal to n+sod(n) for n = 100312130986 and 100312131004.

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, 387059 + ... + 591978.

It is an arithmetic number, because the mean of its divisors is an integer number (4523155560).

Almost surely, 2^100312131020 is an apocalyptic number.

100312131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312131020 is an abundant number, since it is smaller than the sum of its proper divisors (116799335860).

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

100312131020 is a wasteful number, since it uses less digits than its factorization.

100312131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979202 (or 979200 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100312131020 its reverse (20131213001), we get a palindrome (120443344021).

The spelling of 100312131020 in words is "one hundred billion, three hundred twelve million, one hundred thirty-one thousand, twenty".