313310041040 has 80 divisors (see below), whose sum is σ = 767562539520. Its totient is φ = 118607639040.

The previous prime is 313310041013. The next prime is 313310041069. The reversal of 313310041040 is 40140013313.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402322 + ... + 1610318.

It is an arithmetic number, because the mean of its divisors is an integer number (9594531744).

Almost surely, 2^313310041040 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 313310041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383781269760).

313310041040 is an abundant number, since it is smaller than the sum of its proper divisors (454252498480).

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

313310041040 is a wasteful number, since it uses less digits than its factorization.

313310041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209020 (or 209014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 313310041040 its reverse (40140013313), we get a palindrome (353450054353).

The spelling of 313310041040 in words is "three hundred thirteen billion, three hundred ten million, forty-one thousand, forty".