101320320032113 has 64 divisors (see below), whose sum is σ = 127168112719872. Its totient is φ = 78593492643840.

The previous prime is 101320320032093. The next prime is 101320320032147. The reversal of 101320320032113 is 311230023023101.

It is a cyclic number.

It is not a de Polignac number, because 101320320032113 - 2²¹ = 101320317934961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101320320032213) 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, 9689228781 + ... + 9689239237.

It is an arithmetic number, because the mean of its divisors is an integer number (1987001761248).

Almost surely, 2^{101320320032113} is an apocalyptic number.

101320320032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101320320032113 is a deficient number, since it is larger than the sum of its proper divisors (25847792687759).

101320320032113 is a wasteful number, since it uses less digits than its factorization.

101320320032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19154.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101320320032113 its reverse (311230023023101), we get a palindrome (412550343055214).

The spelling of 101320320032113 in words is "one hundred one trillion, three hundred twenty billion, three hundred twenty million, thirty-two thousand, one hundred thirteen".