23321221311313 has 2 divisors, whose sum is σ = 23321221311314. Its totient is φ = 23321221311312.

The previous prime is 23321221311247. The next prime is 23321221311341. The reversal of 23321221311313 is 31311312212332.

It is an a-pointer prime, because the next prime (23321221311341) can be obtained adding 23321221311313 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17793987397264 + 5527233914049 = 4218292^2 + 2351007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-23321221311313 is a prime.

It is not a weakly prime, because it can be changed into another prime (23321221311373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11660610655656 + 11660610655657.

It is an arithmetic number, because the mean of its divisors is an integer number (11660610655657).

Almost surely, 2^{23321221311313} is an apocalyptic number.

It is an amenable number.

23321221311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23321221311313 is an equidigital number, since it uses as much as digits as its factorization.

23321221311313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

Adding to 23321221311313 its reverse (31311312212332), we get a palindrome (54632533523645).

The spelling of 23321221311313 in words is "twenty-three trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred eleven thousand, three hundred thirteen".