23213232331313 has 2 divisors, whose sum is σ = 23213232331314. Its totient is φ = 23213232331312.

The previous prime is 23213232331291. The next prime is 23213232331361. The reversal of 23213232331313 is 31313323231232.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16788948994624 + 6424283336689 = 4097432^2 + 2534617^2 .

It is a cyclic number.

It is not a de Polignac number, because 23213232331313 - 2¹⁴ = 23213232314929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23213232331313.

It is not a weakly prime, because it can be changed into another prime (23213232331013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11606616165656 + 11606616165657.

It is an arithmetic number, because the mean of its divisors is an integer number (11606616165657).

Almost surely, 2^{23213232331313} is an apocalyptic number.

It is an amenable number.

23213232331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23213232331313 is an equidigital number, since it uses as much as digits as its factorization.

23213232331313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 32.

Adding to 23213232331313 its reverse (31313323231232), we get a palindrome (54526555562545).

The spelling of 23213232331313 in words is "twenty-three trillion, two hundred thirteen billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred thirteen".