33155313414313 has 2 divisors, whose sum is σ = 33155313414314. Its totient is φ = 33155313414312.

The previous prime is 33155313414281. The next prime is 33155313414341. The reversal of 33155313414313 is 31341431355133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31149826927209 + 2005486487104 = 5581203^2 + 1416152^2 .

It is a cyclic number.

It is not a de Polignac number, because 33155313414313 - 2⁵ = 33155313414281 is a prime.

It is not a weakly prime, because it can be changed into another prime (33155313214313) 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, 16577656707156 + 16577656707157.

It is an arithmetic number, because the mean of its divisors is an integer number (16577656707157).

Almost surely, 2^{33155313414313} is an apocalyptic number.

It is an amenable number.

33155313414313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33155313414313 is an equidigital number, since it uses as much as digits as its factorization.

33155313414313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 291600, while the sum is 40.

Adding to 33155313414313 its reverse (31341431355133), we get a palindrome (64496744769446).

The spelling of 33155313414313 in words is "thirty-three trillion, one hundred fifty-five billion, three hundred thirteen million, four hundred fourteen thousand, three hundred thirteen".