313233101000 has 64 divisors (see below), whose sum is σ = 738315892080. Its totient is φ = 124378636800.

The previous prime is 313233100991. The next prime is 313233101023. The reversal of 313233101000 is 101332313.

It can be written as a sum of positive squares in 8 ways, for example, as 1013658244 + 312219442756 = 31838^2 + 558766^2 .

It is a super-2 number, since 2×313233101000² (a number of 24 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 313233101000.

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 15 ways as a sum of consecutive naturals, for example, 1006187 + ... + 1280186.

Almost surely, 2^313233101000 is an apocalyptic number.

It is an amenable number.

313233101000 is an abundant number, since it is smaller than the sum of its proper divisors (425082791080).

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

313233101000 is a wasteful number, since it uses less digits than its factorization.

313233101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286531 (or 2286517 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 313233101000 its reverse (101332313), we get a palindrome (313334433313).

The spelling of 313233101000 in words is "three hundred thirteen billion, two hundred thirty-three million, one hundred one thousand".