113132025133200 has 90 divisors (see below), whose sum is σ = 392599552787234. Its totient is φ = 30168540034560.

The previous prime is 113132025133199. The next prime is 113132025133201. The reversal of 113132025133200 is 2331520231311.

113132025133200 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 320 + 2 + 5 + 1 + 332 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113132025133199) and next prime (113132025133201).

It can be written as a sum of positive squares in 3 ways, for example, as 7134540155136 + 105997484978064 = 2671056^2 + 10295508^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×113132025133200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113132025133201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15712777669 + ... + 15712784868.

Almost surely, 2^{113132025133200} is an apocalyptic number.

113132025133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113132025133200 is an abundant number, since it is smaller than the sum of its proper divisors (279467527654034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113132025133200 is a wasteful number, since it uses less digits than its factorization.

113132025133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31425562561 (or 31425562547 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 113132025133200 its reverse (2331520231311), we get a palindrome (115463545364511).

The spelling of 113132025133200 in words is "one hundred thirteen trillion, one hundred thirty-two billion, twenty-five million, one hundred thirty-three thousand, two hundred".