13002331000 has 128 divisors (see below), whose sum is σ = 32825295360. Its totient is φ = 4802304000.

The previous prime is 13002330977. The next prime is 13002331003. The reversal of 13002331000 is 13320031.

It is a super-2 number, since 2×13002331000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002331003) 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, 893785 + ... + 908215.

It is an arithmetic number, because the mean of its divisors is an integer number (256447620).

Almost surely, 2^13002331000 is an apocalyptic number.

13002331000 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 13002331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412647680).

13002331000 is an abundant number, since it is smaller than the sum of its proper divisors (19822964360).

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

13002331000 is a wasteful number, since it uses less digits than its factorization.

13002331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14508 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13002331000 its reverse (13320031), we get a palindrome (13015651031).

The spelling of 13002331000 in words is "thirteen billion, two million, three hundred thirty-one thousand".