113311330000 has 400 divisors, whose sum is σ = 308558929536. Its totient is φ = 39951360000.

The previous prime is 113311329997. The next prime is 113311330031. The reversal of 113311330000 is 33113311.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 827089932 + ... + 827090068.

Almost surely, 2^113311330000 is an apocalyptic number.

113311330000 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 113311330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154279464768).

113311330000 is an abundant number, since it is smaller than the sum of its proper divisors (195247599536).

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

113311330000 is a wasteful number, since it uses less digits than its factorization.

113311330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 113311330000 its reverse (33113311), we get a palindrome (113344443311).

It can be divided in two parts, 1133 and 11330000, that multiplied together give a square (12836890000 = 113300²).

The spelling of 113311330000 in words is "one hundred thirteen billion, three hundred eleven million, three hundred thirty thousand".