101122133013 has 48 divisors (see below), whose sum is σ = 167850009600. Its totient is φ = 58019185440.

The previous prime is 101122133009. The next prime is 101122133023. The reversal of 101122133013 is 310331221101.

101122133013 is a `hidden beast` number, since 101 + 1 + 221 + 330 + 13 = 666.

It is not a de Polignac number, because 101122133013 - 2² = 101122133009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122133003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2725956 + ... + 2762802.

It is an arithmetic number, because the mean of its divisors is an integer number (3496875200).

Almost surely, 2^101122133013 is an apocalyptic number.

It is an amenable number.

101122133013 is a deficient number, since it is larger than the sum of its proper divisors (66727876587).

101122133013 is a wasteful number, since it uses less digits than its factorization.

101122133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38342 (or 38339 counting only the distinct ones).

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

Adding to 101122133013 its reverse (310331221101), we get a palindrome (411453354114).

The spelling of 101122133013 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty-three thousand, thirteen".