1313638872 has 128 divisors (see below), whose sum is σ = 4254835200. Its totient is φ = 328209408.

The previous prime is 1313638849. The next prime is 1313638877. The reversal of 1313638872 is 2788363131.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313638877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25668 + ... + 57324.

It is an arithmetic number, because the mean of its divisors is an integer number (33240900).

Almost surely, 2^1313638872 is an apocalyptic number.

1313638872 is a gapful number since it is divisible by the number (12) 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 1313638872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127417600).

1313638872 is an abundant number, since it is smaller than the sum of its proper divisors (2941196328).

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

1313638872 is a wasteful number, since it uses less digits than its factorization.

1313638872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31705 (or 31701 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 1313638872 is about 36244.1563841676. The cubic root of 1313638872 is about 1095.1963735297.

The spelling of 1313638872 in words is "one billion, three hundred thirteen million, six hundred thirty-eight thousand, eight hundred seventy-two".