113310133101 has 72 divisors (see below), whose sum is σ = 187299042840. Its totient is φ = 65879573760.

The previous prime is 113310133063. The next prime is 113310133151. The reversal of 113310133101 is 101331013311.

113310133101 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 1 + 331 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1560329001 + 111749804100 = 39501^2 + 334290^2 .

It is not a de Polignac number, because 113310133101 - 2⁷ = 113310132973 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 (113310133151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4946791 + ... + 4969643.

It is an arithmetic number, because the mean of its divisors is an integer number (2601375595).

Almost surely, 2^113310133101 is an apocalyptic number.

113310133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113310133101 is a deficient number, since it is larger than the sum of its proper divisors (73988909739).

113310133101 is a wasteful number, since it uses less digits than its factorization.

113310133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067 (or 23053 counting only the distinct ones).

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

Adding to 113310133101 its reverse (101331013311), we get a palindrome (214641146412).

It can be divided in two parts, 11331013310 and 1, that added together give a palindrome (11331013311).

The spelling of 113310133101 in words is "one hundred thirteen billion, three hundred ten million, one hundred thirty-three thousand, one hundred one".