1313577300996 has 135 divisors (see below), whose sum is σ = 3522016108303. Its totient is φ = 426904542720.

The previous prime is 1313577300979. The next prime is 1313577301021. The reversal of 1313577300996 is 6990037753131.

The square root of 1313577300996 is 1146114.

It is a perfect power (a square), and thus also a powerful number.

1313577300996 is a `hidden beast` number, since 1 + 31 + 3 + 577 + 30 + 0 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 959714122500 + 353863178496 = 979650^2 + 594864^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 845831356 + ... + 845832908.

Almost surely, 2^{1313577300996} is an apocalyptic number.

1313577300996 is the 1146114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313577300996

1313577300996 is an abundant number, since it is smaller than the sum of its proper divisors (2208438807307).

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

1313577300996 is an frugal number, since it uses more digits than its factorization.

1313577300996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 1313577300996 in words is "one trillion, three hundred thirteen billion, five hundred seventy-seven million, three hundred thousand, nine hundred ninety-six".