13013510000 has 100 divisors (see below), whose sum is σ = 31798727400. Its totient is φ = 5157216000.

The previous prime is 13013509987. The next prime is 13013510011. The reversal of 13013510000 is 1531031.

13013510000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1084031 + ... + 1095969.

It is an arithmetic number, because the mean of its divisors is an integer number (317987274).

Almost surely, 2^13013510000 is an apocalyptic number.

13013510000 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 13013510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899363700).

13013510000 is an abundant number, since it is smaller than the sum of its proper divisors (18785217400).

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

13013510000 is a wasteful number, since it uses less digits than its factorization.

13013510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12076 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The spelling of 13013510000 in words is "thirteen billion, thirteen million, five hundred ten thousand".