233311313313 has 12 divisors (see below), whose sum is σ = 362928709780. Its totient is φ = 143576192736.

The previous prime is 233311313311. The next prime is 233311313363. The reversal of 233311313313 is 313313113332.

233311313313 is a `hidden beast` number, since 2 + 3 + 3 + 31 + 1 + 313 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23892503184 + 209418810129 = 154572^2 + 457623^2 .

It is not a de Polignac number, because 233311313313 - 2¹ = 233311313311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233311313311) by changing a digit.

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, 997056778 + ... + 997057011.

Almost surely, 2^233311313313 is an apocalyptic number.

It is an amenable number.

233311313313 is a deficient number, since it is larger than the sum of its proper divisors (129617396467).

233311313313 is a wasteful number, since it uses less digits than its factorization.

233311313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994113808 (or 1994113805 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 233311313313 its reverse (313313113332), we get a palindrome (546624426645).

The spelling of 233311313313 in words is "two hundred thirty-three billion, three hundred eleven million, three hundred thirteen thousand, three hundred thirteen".