311413000 has 64 divisors (see below), whose sum is σ = 735649200. Its totient is φ = 123379200.

The previous prime is 311412977. The next prime is 311413007. The reversal of 311413000 is 314113.

It can be written as a sum of positive squares in 8 ways, for example, as 40678884 + 270734116 = 6378^2 + 16454^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311413007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107572 + ... + 110428.

Almost surely, 2^311413000 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 311413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367824600).

311413000 is an abundant number, since it is smaller than the sum of its proper divisors (424236200).

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

311413000 is a wasteful number, since it uses less digits than its factorization.

311413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 311413000 is about 17646.8977443629. The cubic root of 311413000 is about 677.8166709046.

Adding to 311413000 its reverse (314113), we get a palindrome (311727113).

The spelling of 311413000 in words is "three hundred eleven million, four hundred thirteen thousand".