1313724888 has 72 divisors (see below), whose sum is σ = 4138914780. Its totient is φ = 375348960.

The previous prime is 1313724823. The next prime is 1313724899. The reversal of 1313724888 is 8884273131.

1313724888 is a `hidden beast` number, since 131 + 37 + 2 + 488 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1313724888² = 3451746162701225088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 182658 + ... + 189713.

Almost surely, 2^1313724888 is an apocalyptic number.

1313724888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1313724888 is an abundant number, since it is smaller than the sum of its proper divisors (2825189892).

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

1313724888 is a wasteful number, since it uses less digits than its factorization.

1313724888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372397 (or 372383 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1313724888 is about 36245.3429836165. The cubic root of 1313724888 is about 1095.2202771959.

It can be divided in two parts, 13137 and 24888, that added together give a square (38025 = 195²).

The spelling of 1313724888 in words is "one billion, three hundred thirteen million, seven hundred twenty-four thousand, eight hundred eighty-eight".