313102203220000 has 480 divisors, whose sum is σ = 834648945242112. Its totient is φ = 115138762752000.

The previous prime is 313102203219997. The next prime is 313102203220021. The reversal of 313102203220000 is 22302201313.

It is a super-2 number, since 2×313102203220000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313102203220000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4090501729 + ... + 4090578271.

Almost surely, 2^{313102203220000} 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 313102203220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417324472621056).

313102203220000 is an abundant number, since it is smaller than the sum of its proper divisors (521546742022112).

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

313102203220000 is a wasteful number, since it uses less digits than its factorization.

313102203220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76870 (or 76847 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 313102203220000 its reverse (22302201313), we get a palindrome (313124505421313).

The spelling of 313102203220000 in words is "three hundred thirteen trillion, one hundred two billion, two hundred three million, two hundred twenty thousand".