1313249280 has 384 divisors, whose sum is σ = 4981616640. Its totient is φ = 289013760.

The previous prime is 1313249237. The next prime is 1313249293. The reversal of 1313249280 is 829423131.

It is a tau number, because it is divible by the number of its divisors (384).

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, 6666142 + ... + 6666338.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2^1313249280 is an apocalyptic number.

1313249280 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 1313249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

1313249280 is an abundant number, since it is smaller than the sum of its proper divisors (3668367360).

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

1313249280 is a wasteful number, since it uses less digits than its factorization.

1313249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1313249280 is about 36238.7814364667. The cubic root of 1313249280 is about 1095.0880936611.

The spelling of 1313249280 in words is "one billion, three hundred thirteen million, two hundred forty-nine thousand, two hundred eighty".