313213040 has 160 divisors (see below), whose sum is σ = 866837376. Its totient is φ = 103034880.

The previous prime is 313213027. The next prime is 313213051. The reversal of 313213040 is 40312313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810394 + ... + 1810566.

Almost surely, 2^313213040 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 313213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433418688).

313213040 is an abundant number, since it is smaller than the sum of its proper divisors (553624336).

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

313213040 is a wasteful number, since it uses less digits than its factorization.

313213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 313213040 is about 17697.8258551722. The cubic root of 313213040 is about 679.1201423126.

Adding to 313213040 its reverse (40312313), we get a palindrome (353525353).

The spelling of 313213040 in words is "three hundred thirteen million, two hundred thirteen thousand, forty".