100113031231200 has 288 divisors, whose sum is σ = 389927422735200. Its totient is φ = 24643207618560.

The previous prime is 100113031231069. The next prime is 100113031231237. The reversal of 100113031231200 is 2132130311001.

100113031231200 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 30 + 312 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177983145 + ... + 178544744.

It is an arithmetic number, because the mean of its divisors is an integer number (1353914662275).

Almost surely, 2^{100113031231200} is an apocalyptic number.

100113031231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113031231200 is an abundant number, since it is smaller than the sum of its proper divisors (289814391504000).

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

100113031231200 is a wasteful number, since it uses less digits than its factorization.

100113031231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356527931 (or 356527912 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113031231200 its reverse (2132130311001), we get a palindrome (102245161542201).

The spelling of 100113031231200 in words is "one hundred trillion, one hundred thirteen billion, thirty-one million, two hundred thirty-one thousand, two hundred".