313213033005240 has 128 divisors (see below), whose sum is σ = 989306210592000. Its totient is φ = 79110509303808.

The previous prime is 313213033005239. The next prime is 313213033005269. The reversal of 313213033005240 is 42500330312313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313213033005198 and 313213033005207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4131250 + ... + 25367169.

It is an arithmetic number, because the mean of its divisors is an integer number (7728954770250).

Almost surely, 2^{313213033005240} is an apocalyptic number.

313213033005240 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 313213033005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494653105296000).

313213033005240 is an abundant number, since it is smaller than the sum of its proper divisors (676093177586760).

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

313213033005240 is a wasteful number, since it uses less digits than its factorization.

313213033005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503109 (or 29503105 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 313213033005240 its reverse (42500330312313), we get a palindrome (355713363317553).

The spelling of 313213033005240 in words is "three hundred thirteen trillion, two hundred thirteen billion, thirty-three million, five thousand, two hundred forty".