1313373840 has 80 divisors (see below), whose sum is σ = 4098535296. Its totient is φ = 347904000.

The previous prime is 1313373827. The next prime is 1313373863. The reversal of 1313373840 is 483733131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18120 + ... + 54360.

Almost surely, 2^1313373840 is an apocalyptic number.

1313373840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 36240×36241.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313373840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049267648).

1313373840 is an abundant number, since it is smaller than the sum of its proper divisors (2785161456).

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

1313373840 is a wasteful number, since it uses less digits than its factorization.

1313373840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36408 (or 36402 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 1313373840 is about 36240.4999965508. The cubic root of 1313373840 is about 1095.1227151309.

The spelling of 1313373840 in words is "one billion, three hundred thirteen million, three hundred seventy-three thousand, eight hundred forty".