1313433144 has 80 divisors (see below), whose sum is σ = 3725541600. Its totient is φ = 432252288.

The previous prime is 1313433139. The next prime is 1313433167. The reversal of 1313433144 is 4413343131.

1313433144 is a `hidden beast` number, since 1 + 3 + 1 + 343 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38364 + ... + 64020.

It is an arithmetic number, because the mean of its divisors is an integer number (46569270).

Almost surely, 2^1313433144 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 1313433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862770800).

1313433144 is an abundant number, since it is smaller than the sum of its proper divisors (2412108456).

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

1313433144 is a wasteful number, since it uses less digits than its factorization.

1313433144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25754 (or 25741 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 1313433144 is about 36241.3181879468. The cubic root of 1313433144 is about 1095.1391979169.

Adding to 1313433144 its reverse (4413343131), we get a palindrome (5726776275).

The spelling of 1313433144 in words is "one billion, three hundred thirteen million, four hundred thirty-three thousand, one hundred forty-four".