313413144 has 64 divisors (see below), whose sum is σ = 864432000. Its totient is φ = 93899520.

The previous prime is 313413137. The next prime is 313413211. The reversal of 313413144 is 441314313.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16827 + ... + 30165.

It is an arithmetic number, because the mean of its divisors is an integer number (13506750).

Almost surely, 2^313413144 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 313413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432216000).

313413144 is an abundant number, since it is smaller than the sum of its proper divisors (551018856).

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

313413144 is a wasteful number, since it uses less digits than its factorization.

313413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13444 counting only the distinct ones).

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

The square root of 313413144 is about 17703.4783022998. The cubic root of 313413144 is about 679.2647358320.

Adding to 313413144 its reverse (441314313), we get a palindrome (754727457).

The spelling of 313413144 in words is "three hundred thirteen million, four hundred thirteen thousand, one hundred forty-four".