113123330100000 has 864 divisors, whose sum is σ = 450502963589952. Its totient is φ = 26682566400000.

The previous prime is 113123330099951. The next prime is 113123330100007. The reversal of 113123330100000 is 1033321311.

It is a happy number.

113123330100000 is a `hidden beast` number, since 1 + 131 + 233 + 301 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113123330100007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 366145587 + ... + 366454413.

It is an arithmetic number, because the mean of its divisors is an integer number (521415467118).

Almost surely, 2^{113123330100000} is an apocalyptic number.

113123330100000 is a gapful number since it is divisible by the number (10) 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 113123330100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225251481794976).

113123330100000 is an abundant number, since it is smaller than the sum of its proper divisors (337379633489952).

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

113123330100000 is a wasteful number, since it uses less digits than its factorization.

113123330100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308916 (or 308885 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113123330100000 its reverse (1033321311), we get a palindrome (113124363421311).

The spelling of 113123330100000 in words is "one hundred thirteen trillion, one hundred twenty-three billion, three hundred thirty million, one hundred thousand".