100131110320 has 40 divisors (see below), whose sum is σ = 232891210080. Its totient is φ = 40037583360.

The previous prime is 100131110297. The next prime is 100131110369. The reversal of 100131110320 is 23011131001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100131110320.

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 7 ways as a sum of consecutive naturals, for example, 13965 + ... + 447724.

It is an arithmetic number, because the mean of its divisors is an integer number (5822280252).

Almost surely, 2^100131110320 is an apocalyptic number.

100131110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131110320 is an abundant number, since it is smaller than the sum of its proper divisors (132760099760).

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

100131110320 is a wasteful number, since it uses less digits than its factorization.

100131110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464413 (or 464407 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100131110320 its reverse (23011131001), we get a palindrome (123142241321).

The spelling of 100131110320 in words is "one hundred billion, one hundred thirty-one million, one hundred ten thousand, three hundred twenty".