1313058960 has 240 divisors, whose sum is σ = 4727983104. Its totient is φ = 325721088.

The previous prime is 1313058959. The next prime is 1313058979. The reversal of 1313058960 is 698503131.

It is a happy number.

1313058960 is a `hidden beast` number, since 1 + 3 + 13 + 0 + 589 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 611649 + ... + 613791.

Almost surely, 2^1313058960 is an apocalyptic number.

1313058960 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 1313058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363991552).

1313058960 is an abundant number, since it is smaller than the sum of its proper divisors (3414924144).

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

1313058960 is a wasteful number, since it uses less digits than its factorization.

1313058960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1313058960 is about 36236.1554252103. The cubic root of 1313058960 is about 1095.0351899619.

The spelling of 1313058960 in words is "one billion, three hundred thirteen million, fifty-eight thousand, nine hundred sixty".