1313200377 has 32 divisors (see below), whose sum is σ = 2062368000. Its totient is φ = 822991104.

The previous prime is 1313200373. The next prime is 1313200477. The reversal of 1313200377 is 7730023131.

It is not a de Polignac number, because 1313200377 - 2² = 1313200373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1313200377.

It is not an unprimeable number, because it can be changed into a prime (1313200373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710068 + ... + 711914.

It is an arithmetic number, because the mean of its divisors is an integer number (64449000).

Almost surely, 2^1313200377 is an apocalyptic number.

1313200377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1313200377 is a deficient number, since it is larger than the sum of its proper divisors (749167623).

1313200377 is a wasteful number, since it uses less digits than its factorization.

1313200377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 1313200377 is about 36238.1066972324. The cubic root of 1313200377 is about 1095.0745004668.

The spelling of 1313200377 in words is "one billion, three hundred thirteen million, two hundred thousand, three hundred seventy-seven".