1313295480 has 192 divisors, whose sum is σ = 4970496960. Its totient is φ = 294488064.

The previous prime is 1313295463. The next prime is 1313295493. The reversal of 1313295480 is 845923131.

1313295480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 128644 + ... + 138476.

It is an arithmetic number, because the mean of its divisors is an integer number (25888005).

Almost surely, 2^1313295480 is an apocalyptic number.

1313295480 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 1313295480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485248480).

1313295480 is an abundant number, since it is smaller than the sum of its proper divisors (3657201480).

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

1313295480 is a wasteful number, since it uses less digits than its factorization.

1313295480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1313295480 is about 36239.4188695128. The cubic root of 1313295480 is about 1095.1009352131.

The spelling of 1313295480 in words is "one billion, three hundred thirteen million, two hundred ninety-five thousand, four hundred eighty".