101113133000 has 64 divisors (see below), whose sum is σ = 258114280320. Its totient is φ = 36768408000.

The previous prime is 101113132993. The next prime is 101113133027. The reversal of 101113133000 is 331311101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4585052 + ... + 4607051.

It is an arithmetic number, because the mean of its divisors is an integer number (4033035630).

Almost surely, 2^101113133000 is an apocalyptic number.

101113133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101113133000 is an abundant number, since it is smaller than the sum of its proper divisors (157001147320).

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

101113133000 is a wasteful number, since it uses less digits than its factorization.

101113133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192135 (or 9192121 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101113133000 its reverse (331311101), we get a palindrome (101444444101).

The spelling of 101113133000 in words is "one hundred one billion, one hundred thirteen million, one hundred thirty-three thousand".