113312000000 has 168 divisors, whose sum is σ = 283287194190. Its totient is φ = 45312000000.

The previous prime is 113311999979. The next prime is 113312000029. The reversal of 113312000000 is 213311.

It can be written as a sum of positive squares in 7 ways, for example, as 64996443136 + 48315556864 = 254944^2 + 219808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31998230 + ... + 32001770.

Almost surely, 2^113312000000 is an apocalyptic number.

113312000000 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 113312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141643597095).

113312000000 is an abundant number, since it is smaller than the sum of its proper divisors (169975194190).

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

113312000000 is an frugal number, since it uses more digits than its factorization.

113312000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 113312000000 its reverse (213311), we get a palindrome (113312213311).

The spelling of 113312000000 in words is "one hundred thirteen billion, three hundred twelve million", and thus it is an aban number.