1313430144 has 192 divisors, whose sum is σ = 3887007840. Its totient is φ = 392491008.

The previous prime is 1313430143. The next prime is 1313430193. The reversal of 1313430144 is 4410343131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1313430143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2400879 + ... + 2401425.

Almost surely, 2^1313430144 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 1313430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943503920).

1313430144 is an abundant number, since it is smaller than the sum of its proper divisors (2573577696).

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

1313430144 is a wasteful number, since it uses less digits than its factorization.

1313430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1313430144 is about 36241.2767987001. The cubic root of 1313430144 is about 1095.1383641173.

Adding to 1313430144 its reverse (4410343131), we get a palindrome (5723773275).

The spelling of 1313430144 in words is "one billion, three hundred thirteen million, four hundred thirty thousand, one hundred forty-four".