113323110000 has 400 divisors, whose sum is σ = 376529472000. Its totient is φ = 29345792000.

The previous prime is 113323109969. The next prime is 113323110001. The reversal of 113323110000 is 11323311.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 252389776 + ... + 252390224.

It is an arithmetic number, because the mean of its divisors is an integer number (941323680).

Almost surely, 2^113323110000 is an apocalyptic number.

113323110000 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 113323110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188264736000).

113323110000 is an abundant number, since it is smaller than the sum of its proper divisors (263206362000).

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

113323110000 is a wasteful number, since it uses less digits than its factorization.

113323110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113323110000 its reverse (11323311), we get a palindrome (113334433311).

The spelling of 113323110000 in words is "one hundred thirteen billion, three hundred twenty-three million, one hundred ten thousand".