34413211121 has 2 divisors, whose sum is σ = 34413211122. Its totient is φ = 34413211120.

The previous prime is 34413211117. The next prime is 34413211169. The reversal of 34413211121 is 12111231443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26070946225 + 8342264896 = 161465^2 + 91336^2 .

It is a cyclic number.

It is not a de Polignac number, because 34413211121 - 2² = 34413211117 is a prime.

It is not a weakly prime, because it can be changed into another prime (34413211171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17206605560 + 17206605561.

It is an arithmetic number, because the mean of its divisors is an integer number (17206605561).

Almost surely, 2^34413211121 is an apocalyptic number.

It is an amenable number.

34413211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

34413211121 is an equidigital number, since it uses as much as digits as its factorization.

34413211121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

Adding to 34413211121 its reverse (12111231443), we get a palindrome (46524442564).

The spelling of 34413211121 in words is "thirty-four billion, four hundred thirteen million, two hundred eleven thousand, one hundred twenty-one".