1313746800 has 120 divisors (see below), whose sum is σ = 4255999920. Its totient is φ = 346368000.

The previous prime is 1313746789. The next prime is 1313746817. The reversal of 1313746800 is 86473131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100650 + ... + 112950.

It is an arithmetic number, because the mean of its divisors is an integer number (35466666).

Almost surely, 2^1313746800 is an apocalyptic number.

1313746800 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 1313746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127999960).

1313746800 is an abundant number, since it is smaller than the sum of its proper divisors (2942253120).

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

1313746800 is a wasteful number, since it uses less digits than its factorization.

1313746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12411 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1313746800 is about 36245.6452556717. The cubic root of 1313746800 is about 1095.2263663280.

The spelling of 1313746800 in words is "one billion, three hundred thirteen million, seven hundred forty-six thousand, eight hundred".