1313691264 has 128 divisors (see below), whose sum is σ = 3921696000. Its totient is φ = 432875520.

The previous prime is 1313691263. The next prime is 1313691277. The reversal of 1313691264 is 4621963131.

1313691264 is a `hidden beast` number, since 1 + 31 + 369 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1313691263) by changing a digit.

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, 305449 + ... + 309719.

It is an arithmetic number, because the mean of its divisors is an integer number (30638250).

Almost surely, 2^1313691264 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 1313691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960848000).

1313691264 is an abundant number, since it is smaller than the sum of its proper divisors (2608004736).

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

1313691264 is an equidigital number, since it uses as much as digits as its factorization.

1313691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4365 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1313691264 is about 36244.8791417491. The cubic root of 1313691264 is about 1095.2109332810.

The spelling of 1313691264 in words is "one billion, three hundred thirteen million, six hundred ninety-one thousand, two hundred sixty-four".