100031321333112 has 128 divisors (see below), whose sum is σ = 285161508495360. Its totient is φ = 28967904737280.

The previous prime is 100031321333089. The next prime is 100031321333171. The reversal of 100031321333112 is 211333123130001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536581437 + ... + 536767827.

It is an arithmetic number, because the mean of its divisors is an integer number (2227824285120).

Almost surely, 2^{100031321333112} is an apocalyptic number.

100031321333112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100031321333112 is an abundant number, since it is smaller than the sum of its proper divisors (185130187162248).

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

100031321333112 is a wasteful number, since it uses less digits than its factorization.

100031321333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287613 (or 287609 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 100031321333112 its reverse (211333123130001), we get a palindrome (311364444463113).

The spelling of 100031321333112 in words is "one hundred trillion, thirty-one billion, three hundred twenty-one million, three hundred thirty-three thousand, one hundred twelve".