13114368000 has 336 divisors, whose sum is σ = 47312006976. Its totient is φ = 3494707200.

The previous prime is 13114367993. The next prime is 13114368011. The reversal of 13114368000 is 86341131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215289 + ... + 9216711.

Almost surely, 2^13114368000 is an apocalyptic number.

13114368000 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 13114368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656003488).

13114368000 is an abundant number, since it is smaller than the sum of its proper divisors (34197638976).

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

13114368000 is an equidigital number, since it uses as much as digits as its factorization.

13114368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13114368000 in words is "thirteen billion, one hundred fourteen million, three hundred sixty-eight thousand".