1313676000 has 576 divisors, whose sum is σ = 5752446336. Its totient is φ = 276480000.

The previous prime is 1313675983. The next prime is 1313676029. The reversal of 1313676000 is 6763131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275800 + ... + 3276200.

It is an arithmetic number, because the mean of its divisors is an integer number (9986886).

Almost surely, 2^1313676000 is an apocalyptic number.

1313676000 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 1313676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876223168).

1313676000 is an abundant number, since it is smaller than the sum of its proper divisors (4438770336).

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

1313676000 is a wasteful number, since it uses less digits than its factorization.

1313676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1313676000 is about 36244.6685734606. The cubic root of 1313676000 is about 1095.2066914511.

The spelling of 1313676000 in words is "one billion, three hundred thirteen million, six hundred seventy-six thousand".