313313332100 has 18 divisors (see below), whose sum is σ = 679889930874. Its totient is φ = 125325332800.

The previous prime is 313313332039. The next prime is 313313332103. The reversal of 313313332100 is 1233313313.

It can be written as a sum of positive squares in 3 ways, for example, as 88442001664 + 224871330436 = 297392^2 + 474206^2 .

It is not an unprimeable number, because it can be changed into a prime (313313332103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1566566561 + ... + 1566566760.

Almost surely, 2^313313332100 is an apocalyptic number.

It is an amenable number.

313313332100 is an abundant number, since it is smaller than the sum of its proper divisors (366576598774).

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

313313332100 is a wasteful number, since it uses less digits than its factorization.

313313332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133133335 (or 3133133328 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 313313332100 its reverse (1233313313), we get a palindrome (314546645413).

The spelling of 313313332100 in words is "three hundred thirteen billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred".