100013331032400 has 120 divisors (see below), whose sum is σ = 320411313035104. Its totient is φ = 26667285004800.

The previous prime is 100013331032387. The next prime is 100013331032429. The reversal of 100013331032400 is 4230133310001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6325302 + ... + 15493098.

Almost surely, 2^{100013331032400} is an apocalyptic number.

100013331032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013331032400 is an abundant number, since it is smaller than the sum of its proper divisors (220397982002704).

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

100013331032400 is a wasteful number, since it uses less digits than its factorization.

100013331032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176909 (or 9176898 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100013331032400 its reverse (4230133310001), we get a palindrome (104243464342401).

The spelling of 100013331032400 in words is "one hundred trillion, thirteen billion, three hundred thirty-one million, thirty-two thousand, four hundred".