13315276800 has 816 divisors, whose sum is σ = 57209870080. Its totient is φ = 2972712960.

The previous prime is 13315276787. The next prime is 13315276813. The reversal of 13315276800 is 867251331.

It is an interprime number because it is at equal distance from previous prime (13315276787) and next prime (13315276813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309657579 + ... + 309657621.

Almost surely, 2^13315276800 is an apocalyptic number.

13315276800 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 13315276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604935040).

13315276800 is an abundant number, since it is smaller than the sum of its proper divisors (43894593280).

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

13315276800 is an frugal number, since it uses more digits than its factorization.

13315276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13315276800 in words is "thirteen billion, three hundred fifteen million, two hundred seventy-six thousand, eight hundred".