313101040 has 80 divisors (see below), whose sum is σ = 836821440. Its totient is φ = 106721280.

The previous prime is 313101037. The next prime is 313101059. The reversal of 313101040 is 40101313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×313101040² = 196064522498163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313101040.

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, 99816 + ... + 102904.

It is an arithmetic number, because the mean of its divisors is an integer number (10460268).

Almost surely, 2^313101040 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 313101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418410720).

313101040 is an abundant number, since it is smaller than the sum of its proper divisors (523720400).

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

313101040 is a wasteful number, since it uses less digits than its factorization.

313101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

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

The square root of 313101040 is about 17694.6613417720. The cubic root of 313101040 is about 679.0391851427.

Adding to 313101040 its reverse (40101313), we get a palindrome (353202353).

The spelling of 313101040 in words is "three hundred thirteen million, one hundred one thousand, forty".