100133002113000 has 64 divisors (see below), whose sum is σ = 312414966601920. Its totient is φ = 26702133896000.

The previous prime is 100133002112989. The next prime is 100133002113043. The reversal of 100133002113000 is 311200331001.

100133002113000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100133002113000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16688830686 + ... + 16688836685.

It is an arithmetic number, because the mean of its divisors is an integer number (4881483853155).

Almost surely, 2^{100133002113000} is an apocalyptic number.

100133002113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133002113000 is an abundant number, since it is smaller than the sum of its proper divisors (212281964488920).

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

100133002113000 is a wasteful number, since it uses less digits than its factorization.

100133002113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33377667395 (or 33377667381 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100133002113000 its reverse (311200331001), we get a palindrome (100444202444001).

The spelling of 100133002113000 in words is "one hundred trillion, one hundred thirty-three billion, two million, one hundred thirteen thousand".