23131001113311 has 16 divisors (see below), whose sum is σ = 37958565929984. Its totient is φ = 12200967620064.

The previous prime is 23131001113289. The next prime is 23131001113331. The reversal of 23131001113311 is 11331110013132.

It is not a de Polignac number, because 23131001113311 - 2⁹ = 23131001112799 is a prime.

It is a super-3 number, since 3×23131001113311³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131001113331) 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, 42364470631 + ... + 42364471176.

It is an arithmetic number, because the mean of its divisors is an integer number (2372410370624).

Almost surely, 2^{23131001113311} is an apocalyptic number.

23131001113311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23131001113311 is a deficient number, since it is larger than the sum of its proper divisors (14827564816673).

23131001113311 is a wasteful number, since it uses less digits than its factorization.

23131001113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84728941830.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 23131001113311 its reverse (11331110013132), we get a palindrome (34462111126443).

The spelling of 23131001113311 in words is "twenty-three trillion, one hundred thirty-one billion, one million, one hundred thirteen thousand, three hundred eleven".