113133101013 has 48 divisors (see below), whose sum is σ = 168063307776. Its totient is φ = 73316275200.

The previous prime is 113133101009. The next prime is 113133101047. The reversal of 113133101013 is 310101331311.

It is not a de Polignac number, because 113133101013 - 2² = 113133101009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113133100013) 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, 11192920 + ... + 11203022.

It is an arithmetic number, because the mean of its divisors is an integer number (3501318912).

Almost surely, 2^113133101013 is an apocalyptic number.

It is an amenable number.

113133101013 is a deficient number, since it is larger than the sum of its proper divisors (54930206763).

113133101013 is a wasteful number, since it uses less digits than its factorization.

113133101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113133101013 its reverse (310101331311), we get a palindrome (423234432324).

The spelling of 113133101013 in words is "one hundred thirteen billion, one hundred thirty-three million, one hundred one thousand, thirteen".