113333000114952 has 256 divisors, whose sum is σ = 324711459072000. Its totient is φ = 36604435279104.

The previous prime is 113333000114951. The next prime is 113333000114963. The reversal of 113333000114952 is 259411000333311.

113333000114952 is a `hidden beast` number, since 1 + 1 + 333 + 300 + 0 + 1 + 14 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113333000114951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1648613493 + ... + 1648682235.

It is an arithmetic number, because the mean of its divisors is an integer number (1268404137000).

Almost surely, 2^{113333000114952} is an apocalyptic number.

113333000114952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113333000114952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162355729536000).

113333000114952 is an abundant number, since it is smaller than the sum of its proper divisors (211378458957048).

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

113333000114952 is a wasteful number, since it uses less digits than its factorization.

113333000114952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70217 (or 70207 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 113333000114952 in words is "one hundred thirteen trillion, three hundred thirty-three billion, one hundred fourteen thousand, nine hundred fifty-two".