113002121000 has 64 divisors (see below), whose sum is σ = 266355395280. Its totient is φ = 44870860800.

The previous prime is 113002120993. The next prime is 113002121003. The reversal of 113002121000 is 121200311.

113002121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 67141636 + 112934979364 = 8194^2 + 336058^2 .

It is not an unprimeable number, because it can be changed into a prime (113002121003) 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 15 ways as a sum of consecutive naturals, for example, 275417 + ... + 549416.

Almost surely, 2^113002121000 is an apocalyptic number.

113002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113002121000 is an abundant number, since it is smaller than the sum of its proper divisors (153353274280).

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

113002121000 is a wasteful number, since it uses less digits than its factorization.

113002121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824991 (or 824977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 113002121000 its reverse (121200311), we get a palindrome (113123321311).

The spelling of 113002121000 in words is "one hundred thirteen billion, two million, one hundred twenty-one thousand".