23311313131313 has 2 divisors, whose sum is σ = 23311313131314. Its totient is φ = 23311313131312.

The previous prime is 23311313131279. The next prime is 23311313131349. The reversal of 23311313131313 is 31313131311332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21363549573184 + 1947763558129 = 4622072^2 + 1395623^2 .

It is a cyclic number.

It is not a de Polignac number, because 23311313131313 - 2²² = 23311308937009 is a prime.

It is a super-2 number, since 2×23311313131313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23311313131913) 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, 11655656565656 + 11655656565657.

It is an arithmetic number, because the mean of its divisors is an integer number (11655656565657).

Almost surely, 2^{23311313131313} is an apocalyptic number.

It is an amenable number.

23311313131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23311313131313 is an equidigital number, since it uses as much as digits as its factorization.

23311313131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 29.

Adding to 23311313131313 its reverse (31313131311332), we get a palindrome (54624444442645).

It can be divided in two parts, 2331 and 1313131313, that multiplied together give a palindrome (3060909090603).

The spelling of 23311313131313 in words is "twenty-three trillion, three hundred eleven billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".