113121033000 has 128 divisors (see below), whose sum is σ = 353114536320. Its totient is φ = 30150489600.

The previous prime is 113121032951. The next prime is 113121033007. The reversal of 113121033000 is 330121311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113121033007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6792684 + ... + 6809316.

It is an arithmetic number, because the mean of its divisors is an integer number (2758707315).

Almost surely, 2^113121033000 is an apocalyptic number.

113121033000 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 113121033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176557268160).

113121033000 is an abundant number, since it is smaller than the sum of its proper divisors (239993503320).

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

113121033000 is a wasteful number, since it uses less digits than its factorization.

113121033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18924 (or 18910 counting only the distinct ones).

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

Adding to 113121033000 its reverse (330121311), we get a palindrome (113451154311).

The spelling of 113121033000 in words is "one hundred thirteen billion, one hundred twenty-one million, thirty-three thousand".