113506123311 has 64 divisors (see below), whose sum is σ = 203972428800. Its totient is φ = 60898894848.

The previous prime is 113506123301. The next prime is 113506123321. The reversal of 113506123311 is 113321605311.

It is a happy number.

113506123311 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 612 + 33 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (113506123301) and next prime (113506123321).

It is not a de Polignac number, because 113506123311 - 2⁹ = 113506122799 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113506123301) 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, 1304091 + ... + 1388403.

It is an arithmetic number, because the mean of its divisors is an integer number (3187069200).

Almost surely, 2^113506123311 is an apocalyptic number.

113506123311 is a deficient number, since it is larger than the sum of its proper divisors (90466305489).

113506123311 is a wasteful number, since it uses less digits than its factorization.

113506123311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84765 (or 84759 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 113506123311 its reverse (113321605311), we get a palindrome (226827728622).

The spelling of 113506123311 in words is "one hundred thirteen billion, five hundred six million, one hundred twenty-three thousand, three hundred eleven".