111113231123313 has 20 divisors (see below), whose sum is σ = 165984523376628. Its totient is φ = 74075237125920.

The previous prime is 111113231123291. The next prime is 111113231123327. The reversal of 111113231123313 is 313321132311111.

111113231123313 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 32 + 311 + 2 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7690372015104 + 103422859108209 = 2773152^2 + 10169703^2 .

It is not a de Polignac number, because 111113231123313 - 2¹² = 111113231119217 is a prime.

It is a super-3 number, since 3×111113231123313³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111113231123333) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23578395 + ... + 27895647.

Almost surely, 2^{111113231123313} is an apocalyptic number.

It is an amenable number.

111113231123313 is a deficient number, since it is larger than the sum of its proper divisors (54871292253315).

111113231123313 is an equidigital number, since it uses as much as digits as its factorization.

111113231123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635006 (or 4634997 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 111113231123313 its reverse (313321132311111), we get a palindrome (424434363434424).

The spelling of 111113231123313 in words is "one hundred eleven trillion, one hundred thirteen billion, two hundred thirty-one million, one hundred twenty-three thousand, three hundred thirteen".