1313144430 has 256 divisors, whose sum is σ = 3797611776. Its totient is φ = 287539200.

The previous prime is 1313144381. The next prime is 1313144461. The reversal of 1313144430 is 344413131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313144430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13001380 + ... + 13001480.

It is an arithmetic number, because the mean of its divisors is an integer number (14834421).

Almost surely, 2^1313144430 is an apocalyptic number.

1313144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898805888).

1313144430 is an abundant number, since it is smaller than the sum of its proper divisors (2484467346).

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

1313144430 is a wasteful number, since it uses less digits than its factorization.

1313144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

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

The square root of 1313144430 is about 36237.3347529865. The cubic root of 1313144430 is about 1095.0589488917.

Adding to 1313144430 its reverse (344413131), we get a palindrome (1657557561).

The spelling of 1313144430 in words is "one billion, three hundred thirteen million, one hundred forty-four thousand, four hundred thirty".