113273370395136 has 480 divisors, whose sum is σ = 400601831984640. Its totient is φ = 30074484031488.

The previous prime is 113273370395041. The next prime is 113273370395161. The reversal of 113273370395136 is 631593073372311.

113273370395136 is a `hidden beast` number, since 1 + 1 + 3 + 27 + 3 + 3 + 70 + 39 + 513 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42012400 + ... + 44627216.

It is an arithmetic number, because the mean of its divisors is an integer number (834587149968).

Almost surely, 2^{113273370395136} is an apocalyptic number.

113273370395136 is a gapful number since it is divisible by the number (16) 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 113273370395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200300915992320).

113273370395136 is an abundant number, since it is smaller than the sum of its proper divisors (287328461589504).

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

113273370395136 is a wasteful number, since it uses less digits than its factorization.

113273370395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614944 (or 2614925 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 54.

The spelling of 113273370395136 in words is "one hundred thirteen trillion, two hundred seventy-three billion, three hundred seventy million, three hundred ninety-five thousand, one hundred thirty-six".