13015412000 has 192 divisors, whose sum is σ = 33791966208. Its totient is φ = 4919040000.

The previous prime is 13015411999. The next prime is 13015412009. The reversal of 13015412000 is 21451031.

It is a self number, because there is not a number n which added to its sum of digits gives 13015412000.

It is not an unprimeable number, because it can be changed into a prime (13015412009) 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, 5330780 + ... + 5333220.

It is an arithmetic number, because the mean of its divisors is an integer number (175999824).

Almost surely, 2^13015412000 is an apocalyptic number.

13015412000 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 13015412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895983104).

13015412000 is an abundant number, since it is smaller than the sum of its proper divisors (20776554208).

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

13015412000 is a wasteful number, since it uses less digits than its factorization.

13015412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 13015412000 its reverse (21451031), we get a palindrome (13036863031).

The spelling of 13015412000 in words is "thirteen billion, fifteen million, four hundred twelve thousand".