113001222100311 has 48 divisors (see below), whose sum is σ = 181935472095936. Its totient is φ = 67219823075328.

The previous prime is 113001222100309. The next prime is 113001222100313.

113001222100311 is a `hidden beast` number, since 1 + 1 + 30 + 0 + 1 + 222 + 100 + 311 = 666.

113001222100311 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (113001222100309) and next prime (113001222100313).

It is not a de Polignac number, because 113001222100311 - 2¹ = 113001222100309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001222100313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141689710 + ... + 142485003.

It is an arithmetic number, because the mean of its divisors is an integer number (3790322335332).

Almost surely, 2^{113001222100311} is an apocalyptic number.

113001222100311 is a deficient number, since it is larger than the sum of its proper divisors (68934249995625).

113001222100311 is a wasteful number, since it uses less digits than its factorization.

113001222100311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284174872 (or 284174869 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 113001222100311 in words is "one hundred thirteen trillion, one billion, two hundred twenty-two million, one hundred thousand, three hundred eleven".