1313567040 has 112 divisors (see below), whose sum is σ = 4185099072. Its totient is φ = 349065216.

The previous prime is 1313567027. The next prime is 1313567063. The reversal of 1313567040 is 407653131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1313566989 and 1313567007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292492 + ... + 296948.

It is an arithmetic number, because the mean of its divisors is an integer number (37366956).

Almost surely, 2^1313567040 is an apocalyptic number.

1313567040 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 1313567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092549536).

1313567040 is an abundant number, since it is smaller than the sum of its proper divisors (2871532032).

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

1313567040 is a wasteful number, since it uses less digits than its factorization.

1313567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1313567040 is about 36243.1654246701. The cubic root of 1313567040 is about 1095.1764107679.

The spelling of 1313567040 in words is "one billion, three hundred thirteen million, five hundred sixty-seven thousand, forty".