13314511000 has 128 divisors (see below), whose sum is σ = 35975721600. Its totient is φ = 4517683200.

The previous prime is 13314510977. The next prime is 13314511019. The reversal of 13314511000 is 11541331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669196 + ... + 688804.

It is an arithmetic number, because the mean of its divisors is an integer number (281060325).

Almost surely, 2^13314511000 is an apocalyptic number.

13314511000 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 13314511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987860800).

13314511000 is an abundant number, since it is smaller than the sum of its proper divisors (22661210600).

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

13314511000 is a wasteful number, since it uses less digits than its factorization.

13314511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19734 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 13314511000 in words is "thirteen billion, three hundred fourteen million, five hundred eleven thousand".