101332112323013 has 16 divisors (see below), whose sum is σ = 126050311670976. Its totient is φ = 80031943914240.

The previous prime is 101332112323003. The next prime is 101332112323073. The reversal of 101332112323013 is 310323211233101.

It is not a de Polignac number, because 101332112323013 - 2²⁰ = 101332111274437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332112323003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20841649631 + ... + 20841654492.

It is an arithmetic number, because the mean of its divisors is an integer number (7878144479436).

Almost surely, 2^{101332112323013} is an apocalyptic number.

101332112323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101332112323013 is a deficient number, since it is larger than the sum of its proper divisors (24718199347963).

101332112323013 is a wasteful number, since it uses less digits than its factorization.

101332112323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41683304164.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 101332112323013 its reverse (310323211233101), we get a palindrome (411655323556114).

The spelling of 101332112323013 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred twelve million, three hundred twenty-three thousand, thirteen".