1303313976 has 192 divisors, whose sum is σ = 3921372000. Its totient is φ = 404103168.

The previous prime is 1303313927. The next prime is 1303313989. The reversal of 1303313976 is 6793133031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1303313976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3734250 + ... + 3734598.

Almost surely, 2^1303313976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303313976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686000).

1303313976 is an abundant number, since it is smaller than the sum of its proper divisors (2618058024).

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

1303313976 is a wasteful number, since it uses less digits than its factorization.

1303313976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 1303313976 is about 36101.4400820798. The cubic root of 1303313976 is about 1092.3194935210.

The spelling of 1303313976 in words is "one billion, three hundred three million, three hundred thirteen thousand, nine hundred seventy-six".