113314012000 has 192 divisors, whose sum is σ = 322672896000. Its totient is φ = 38302656000.

The previous prime is 113314011911. The next prime is 113314012003. The reversal of 113314012000 is 210413311.

It is a super-2 number, since 2×113314012000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113314012003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959501 + ... + 2016499.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588000).

Almost surely, 2^113314012000 is an apocalyptic number.

113314012000 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 113314012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448000).

113314012000 is an abundant number, since it is smaller than the sum of its proper divisors (209358884000).

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

113314012000 is an equidigital number, since it uses as much as digits as its factorization.

113314012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57102 (or 57084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113314012000 its reverse (210413311), we get a palindrome (113524425311).

The spelling of 113314012000 in words is "one hundred thirteen billion, three hundred fourteen million, twelve thousand".