101537008048113 has 64 divisors (see below), whose sum is σ = 156294240768000. Its totient is φ = 58028479308800.

The previous prime is 101537008048111. The next prime is 101537008048153. The reversal of 101537008048113 is 311840800735101.

It is not a de Polignac number, because 101537008048113 - 2¹ = 101537008048111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101537008048111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767798245 + ... + 767930477.

It is an arithmetic number, because the mean of its divisors is an integer number (2442097512000).

Almost surely, 2^{101537008048113} is an apocalyptic number.

It is an amenable number.

101537008048113 is a deficient number, since it is larger than the sum of its proper divisors (54757232719887).

101537008048113 is a wasteful number, since it uses less digits than its factorization.

101537008048113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146590.

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 101537008048113 in words is "one hundred one trillion, five hundred thirty-seven billion, eight million, forty-eight thousand, one hundred thirteen".