13013013000 has 128 divisors (see below), whose sum is σ = 43723854720. Its totient is φ = 3203193600.

The previous prime is 13013012989. The next prime is 13013013029. The reversal of 13013013000 is 31031031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127834 + ... + 205833.

It is an arithmetic number, because the mean of its divisors is an integer number (341592615).

Almost surely, 2^13013013000 is an apocalyptic number.

13013013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013013000 is an abundant number, since it is smaller than the sum of its proper divisors (30710841720).

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

13013013000 is a wasteful number, since it uses less digits than its factorization.

13013013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333704 (or 333690 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13013013000 its reverse (31031031), we get a palindrome (13044044031).

The spelling of 13013013000 in words is "thirteen billion, thirteen million, thirteen thousand".