33112122313 has 2 divisors, whose sum is σ = 33112122314. Its totient is φ = 33112122312.

The previous prime is 33112122269. The next prime is 33112122347. The reversal of 33112122313 is 31322121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17707092624 + 15405029689 = 133068^2 + 124117^2 .

It is a cyclic number.

It is not a de Polignac number, because 33112122313 - 2²⁵ = 33078567881 is a prime.

It is not a weakly prime, because it can be changed into another prime (33112122353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556061156 + 16556061157.

It is an arithmetic number, because the mean of its divisors is an integer number (16556061157).

Almost surely, 2^33112122313 is an apocalyptic number.

It is an amenable number.

33112122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33112122313 is an equidigital number, since it uses as much as digits as its factorization.

33112122313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 22.

Adding to 33112122313 its reverse (31322121133), we get a palindrome (64434243446).

The spelling of 33112122313 in words is "thirty-three billion, one hundred twelve million, one hundred twenty-two thousand, three hundred thirteen".