313010400 has 144 divisors (see below), whose sum is σ = 1044026928. Its totient is φ = 81408000.

The previous prime is 313010393. The next prime is 313010407. The reversal of 313010400 is 4010313.

It is an interprime number because it is at equal distance from previous prime (313010393) and next prime (313010407).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313010407) 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, 96810 + ... + 99990.

It is an arithmetic number, because the mean of its divisors is an integer number (7250187).

Almost surely, 2^313010400 is an apocalyptic number.

313010400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522013464).

313010400 is an abundant number, since it is smaller than the sum of its proper divisors (731016528).

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

313010400 is a wasteful number, since it uses less digits than its factorization.

313010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313010400 is about 17692.0999318905. The cubic root of 313010400 is about 678.9736535262.

Adding to 313010400 its reverse (4010313), we get a palindrome (317020713).

It can be divided in two parts, 3130 and 10400, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 313010400 in words is "three hundred thirteen million, ten thousand, four hundred".