313210040 has 128 divisors (see below), whose sum is σ = 876899520. Its totient is φ = 98918400.

The previous prime is 313210031. The next prime is 313210043. The reversal of 313210040 is 40012313.

It is a junction number, because it is equal to n+sod(n) for n = 313209997 and 313210024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313210043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95630 + ... + 98850.

Almost surely, 2^313210040 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 313210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438449760).

313210040 is an abundant number, since it is smaller than the sum of its proper divisors (563689480).

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

313210040 is a wasteful number, since it uses less digits than its factorization.

313210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 313210040 is about 17697.7410987956. The cubic root of 313210040 is about 679.1179740686.

Adding to 313210040 its reverse (40012313), we get a palindrome (353222353).

The spelling of 313210040 in words is "three hundred thirteen million, two hundred ten thousand, forty".