1313292960 has 384 divisors, whose sum is σ = 5308208640. Its totient is φ = 297050112.

The previous prime is 1313292949. The next prime is 1313292961. The reversal of 1313292960 is 692923131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1313292961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4142722 + ... + 4143038.

It is an arithmetic number, because the mean of its divisors is an integer number (13823460).

Almost surely, 2^1313292960 is an apocalyptic number.

1313292960 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 1313292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654104320).

1313292960 is an abundant number, since it is smaller than the sum of its proper divisors (3994915680).

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

1313292960 is a wasteful number, since it uses less digits than its factorization.

1313292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1313292960 is about 36239.3841007267. The cubic root of 1313292960 is about 1095.1002347726.

The spelling of 1313292960 in words is "one billion, three hundred thirteen million, two hundred ninety-two thousand, nine hundred sixty".