13011000000 has 196 divisors, whose sum is σ = 43040542824. Its totient is φ = 3468800000.

The previous prime is 13010999999. The next prime is 13011000007. The reversal of 13011000000 is 11031.

It is a super-2 number, since 2×13011000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (13011000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2997832 + ... + 3002168.

Almost surely, 2^13011000000 is an apocalyptic number.

13011000000 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 13011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520271412).

13011000000 is an abundant number, since it is smaller than the sum of its proper divisors (30029542824).

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

13011000000 is an frugal number, since it uses more digits than its factorization.

13011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 13011000000 its reverse (11031), we get a palindrome (13011011031).

The spelling of 13011000000 in words is "thirteen billion, eleven million", and thus it is an aban number and an uban number.