233123321313 has 6 divisors (see below), whose sum is σ = 336733686354. Its totient is φ = 155415547536.

The previous prime is 233123321311. The next prime is 233123321341. The reversal of 233123321313 is 313123321332.

233123321313 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 23 + 321 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231498586449 + 1624734864 = 481143^2 + 40308^2 .

It is not a de Polignac number, because 233123321313 - 2¹ = 233123321311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233123321311) 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, 12951295620 + ... + 12951295637.

It is an arithmetic number, because the mean of its divisors is an integer number (56122281059).

Almost surely, 2^233123321313 is an apocalyptic number.

It is an amenable number.

233123321313 is a deficient number, since it is larger than the sum of its proper divisors (103610365041).

233123321313 is a wasteful number, since it uses less digits than its factorization.

233123321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25902591263 (or 25902591260 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 233123321313 its reverse (313123321332), we get a palindrome (546246642645).

The spelling of 233123321313 in words is "two hundred thirty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred thirteen".