1313724900 has 36 divisors (see below), whose sum is σ = 3801044912. Its totient is φ = 350326560.

The previous prime is 1313724899. The next prime is 1313724901. The reversal of 1313724900 is 94273131.

It is an interprime number because it is at equal distance from previous prime (1313724899) and next prime (1313724901).

It is a super-2 number, since 2×1313724900² = 3451746225760020000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1313724901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2189242 + ... + 2189841.

Almost surely, 2^1313724900 is an apocalyptic number.

1313724900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313724900 is an abundant number, since it is smaller than the sum of its proper divisors (2487320012).

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

1313724900 is a wasteful number, since it uses less digits than its factorization.

1313724900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379100 (or 4379093 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1313724900 is about 36245.3431491550. The cubic root of 1313724900 is about 1095.2202805306.

The spelling of 1313724900 in words is "one billion, three hundred thirteen million, seven hundred twenty-four thousand, nine hundred".