313302220100 has 36 divisors (see below), whose sum is σ = 681791859924. Its totient is φ = 124965857280.

The previous prime is 313302220039. The next prime is 313302220117. The reversal of 313302220100 is 1022203313.

It can be written as a sum of positive squares in 6 ways, for example, as 344770624 + 312957449476 = 18568^2 + 559426^2 .

It is a super-2 number, since 2×313302220100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4402409 + ... + 4473008.

Almost surely, 2^313302220100 is an apocalyptic number.

It is an amenable number.

313302220100 is an abundant number, since it is smaller than the sum of its proper divisors (368489639824).

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

313302220100 is a wasteful number, since it uses less digits than its factorization.

313302220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875784 (or 8875777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 313302220100 its reverse (1022203313), we get a palindrome (314324423413).

The spelling of 313302220100 in words is "three hundred thirteen billion, three hundred two million, two hundred twenty thousand, one hundred".