13011504000 has 512 divisors, whose sum is σ = 49569062400. Its totient is φ = 2985984000.

The previous prime is 13011503983. The next prime is 13011504001. The reversal of 13011504000 is 40511031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011504001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10031352 + ... + 10032648.

It is an arithmetic number, because the mean of its divisors is an integer number (96814575).

Almost surely, 2^13011504000 is an apocalyptic number.

13011504000 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 13011504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784531200).

13011504000 is an abundant number, since it is smaller than the sum of its proper divisors (36557558400).

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

13011504000 is a wasteful number, since it uses less digits than its factorization.

13011504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 13011504000 in words is "thirteen billion, eleven million, five hundred four thousand".