13013000000 has 588 divisors, whose sum is σ = 43576317216. Its totient is φ = 3744000000.

The previous prime is 13012999999. The next prime is 13013000101. The reversal of 13013000000 is 31031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1000999994 + ... + 1001000006.

Almost surely, 2^13013000000 is an apocalyptic number.

13013000000 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 13013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788158608).

13013000000 is an abundant number, since it is smaller than the sum of its proper divisors (30563317216).

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

13013000000 is an frugal number, since it uses more digits than its factorization.

13013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 13013000000 its reverse (31031), we get a palindrome (13013031031).

The spelling of 13013000000 in words is "thirteen billion, thirteen million", and thus it is an aban number and an uban number.