13315282304 has 64 divisors (see below), whose sum is σ = 27471407040. Its totient is φ = 6424244736.

The previous prime is 13315282301. The next prime is 13315282307. The reversal of 13315282304 is 40328251331.

It is an interprime number because it is at equal distance from previous prime (13315282301) and next prime (13315282307).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315282301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442259 + ... + 471405.

It is an arithmetic number, because the mean of its divisors is an integer number (429240735).

Almost surely, 2^13315282304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13315282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735703520).

13315282304 is an abundant number, since it is smaller than the sum of its proper divisors (14156124736).

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

13315282304 is an equidigital number, since it uses as much as digits as its factorization.

13315282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29287 (or 29275 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 13315282304 in words is "thirteen billion, three hundred fifteen million, two hundred eighty-two thousand, three hundred four".