100031131200 has 1344 divisors, whose sum is σ = 447011389440. Its totient is φ = 18911232000.

The previous prime is 100031131171. The next prime is 100031131231. The reversal of 100031131200 is 2131130001.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×100031131200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 523723105 + ... + 523723295.

It is an arithmetic number, because the mean of its divisors is an integer number (332597760).

Almost surely, 2^100031131200 is an apocalyptic number.

100031131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100031131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223505694720).

100031131200 is an abundant number, since it is smaller than the sum of its proper divisors (346980258240).

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

100031131200 is a wasteful number, since it uses less digits than its factorization.

100031131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100031131200 its reverse (2131130001), we get a palindrome (102162261201).

The spelling of 100031131200 in words is "one hundred billion, thirty-one million, one hundred thirty-one thousand, two hundred".