1313034144 has 48 divisors (see below), whose sum is σ = 3505148640. Its totient is φ = 430257920.

The previous prime is 1313034139. The next prime is 1313034193. The reversal of 1313034144 is 4414303131.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110247 + ... + 121574.

It is an arithmetic number, because the mean of its divisors is an integer number (73023930).

Almost surely, 2^1313034144 is an apocalyptic number.

It is an amenable number.

1313034144 is an abundant number, since it is smaller than the sum of its proper divisors (2192114496).

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

1313034144 is a wasteful number, since it uses less digits than its factorization.

1313034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231893 (or 231885 counting only the distinct ones).

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

The square root of 1313034144 is about 36235.8130031603. The cubic root of 1313034144 is about 1095.0282914231.

Adding to 1313034144 its reverse (4414303131), we get a palindrome (5727337275).

It can be divided in two parts, 13130 and 34144, that added together give a palindrome (47274).

The spelling of 1313034144 in words is "one billion, three hundred thirteen million, thirty-four thousand, one hundred forty-four".