10231101313101 has 64 divisors (see below), whose sum is σ = 16258589568000. Its totient is φ = 6338806943040.

The previous prime is 10231101313061. The next prime is 10231101313157. The reversal of 10231101313101 is 10131310113201.

10231101313101 is a `hidden beast` number, since 10 + 2 + 311 + 0 + 1 + 31 + 310 + 1 = 666.

It is not a de Polignac number, because 10231101313101 - 2¹⁵ = 10231101280333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231101313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190812786 + ... + 190866396.

It is an arithmetic number, because the mean of its divisors is an integer number (254040462000).

Almost surely, 2^{10231101313101} is an apocalyptic number.

It is an amenable number.

10231101313101 is a deficient number, since it is larger than the sum of its proper divisors (6027488254899).

10231101313101 is a wasteful number, since it uses less digits than its factorization.

10231101313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60711 (or 60705 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10231101313101 its reverse (10131310113201), we get a palindrome (20362411426302).

The spelling of 10231101313101 in words is "ten trillion, two hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, one hundred one".