10332113000 has 128 divisors (see below), whose sum is σ = 26442599040. Its totient is φ = 3747520000.

The previous prime is 10332112991. The next prime is 10332113017. The reversal of 10332113000 is 31123301.

10332113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5400044 + ... + 5401956.

It is an arithmetic number, because the mean of its divisors is an integer number (206582805).

Almost surely, 2^10332113000 is an apocalyptic number.

10332113000 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 10332113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221299520).

10332113000 is an abundant number, since it is smaller than the sum of its proper divisors (16110486040).

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

10332113000 is a wasteful number, since it uses less digits than its factorization.

10332113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10332113000 its reverse (31123301), we get a palindrome (10363236301).

The spelling of 10332113000 in words is "ten billion, three hundred thirty-two million, one hundred thirteen thousand".