113013101202111 has 20 divisors (see below), whose sum is σ = 184169498256744. Its totient is φ = 68492788606800.

The previous prime is 113013101201849. The next prime is 113013101202119. The reversal of 113013101202111 is 111202101310311.

113013101202111 is a `hidden beast` number, since 1 + 1 + 301 + 31 + 0 + 120 + 211 + 1 = 666.

It is not a de Polignac number, because 113013101202111 - 2²⁶ = 113013034093247 is a prime.

It is a super-3 number, since 3×113013101202111³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013101202119) 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, 63419247820 + ... + 63419249601.

Almost surely, 2^{113013101202111} is an apocalyptic number.

113013101202111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113013101202111 is a deficient number, since it is larger than the sum of its proper divisors (71156397054633).

113013101202111 is a wasteful number, since it uses less digits than its factorization.

113013101202111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126838497444 (or 126838497435 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 113013101202111 its reverse (111202101310311), we get a palindrome (224215202512422).

The spelling of 113013101202111 in words is "one hundred thirteen trillion, thirteen billion, one hundred one million, two hundred two thousand, one hundred eleven".