13032013000 has 128 divisors (see below), whose sum is σ = 32493726720. Its totient is φ = 4875033600.

The previous prime is 13032012991. The next prime is 13032013079. The reversal of 13032013000 is 31023031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2768649 + ... + 2773351.

It is an arithmetic number, because the mean of its divisors is an integer number (253857240).

Almost surely, 2^13032013000 is an apocalyptic number.

13032013000 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 13032013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246863360).

13032013000 is an abundant number, since it is smaller than the sum of its proper divisors (19461713720).

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

13032013000 is a wasteful number, since it uses less digits than its factorization.

13032013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4890 counting only the distinct ones).

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

Adding to 13032013000 its reverse (31023031), we get a palindrome (13063036031).

The spelling of 13032013000 in words is "thirteen billion, thirty-two million, thirteen thousand".