231020113100013 has 6 divisors (see below), whose sum is σ = 333695718922254. Its totient is φ = 154013408733336.

The previous prime is 231020113099973. The next prime is 231020113100059. The reversal of 231020113100013 is 310001311020132.

231020113100013 is a `hidden beast` number, since 2 + 310 + 20 + 11 + 310 + 0 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192554837746569 + 38465275353444 = 13876413^2 + 6202038^2 .

It is not a de Polignac number, because 231020113100013 - 2¹⁷ = 231020112968941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231020113100213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12834450727770 + ... + 12834450727787.

It is an arithmetic number, because the mean of its divisors is an integer number (55615953153709).

Almost surely, 2^{231020113100013} is an apocalyptic number.

It is an amenable number.

231020113100013 is a deficient number, since it is larger than the sum of its proper divisors (102675605822241).

231020113100013 is a wasteful number, since it uses less digits than its factorization.

231020113100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25668901455563 (or 25668901455560 counting only the distinct ones).

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

Adding to 231020113100013 its reverse (310001311020132), we get a palindrome (541021424120145).

The spelling of 231020113100013 in words is "two hundred thirty-one trillion, twenty billion, one hundred thirteen million, one hundred thousand, thirteen".