313221303553104 has 30 divisors (see below), whose sum is σ = 876584620360826. Its totient is φ = 104407101184320.

The previous prime is 313221303553079. The next prime is 313221303553111. The reversal of 313221303553104 is 401355303122313.

313221303553104 is a `hidden beast` number, since 3 + 1 + 32 + 2 + 1 + 303 + 5 + 5 + 310 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304423910271504 + 8797393281600 = 17447748^2 + 2966040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1087573970527 + ... + 1087573970814.

Almost surely, 2^{313221303553104} is an apocalyptic number.

It is an amenable number.

313221303553104 is an abundant number, since it is smaller than the sum of its proper divisors (563363316807722).

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

313221303553104 is a wasteful number, since it uses less digits than its factorization.

313221303553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175147941355 (or 2175147941346 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 313221303553104 its reverse (401355303122313), we get a palindrome (714576606675417).

The spelling of 313221303553104 in words is "three hundred thirteen trillion, two hundred twenty-one billion, three hundred three million, five hundred fifty-three thousand, one hundred four".