34131653261033 has 2 divisors, whose sum is σ = 34131653261034. Its totient is φ = 34131653261032.

The previous prime is 34131653261023. The next prime is 34131653261087. The reversal of 34131653261033 is 33016235613143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17680452364969 + 16451200896064 = 4204813^2 + 4056008^2 .

It is a cyclic number.

It is not a de Polignac number, because 34131653261033 - 2²⁴ = 34131636483817 is a prime.

It is not a weakly prime, because it can be changed into another prime (34131653261023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065826630516 + 17065826630517.

It is an arithmetic number, because the mean of its divisors is an integer number (17065826630517).

Almost surely, 2^{34131653261033} is an apocalyptic number.

It is an amenable number.

34131653261033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131653261033 is an equidigital number, since it uses as much as digits as its factorization.

34131653261033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 41.

Adding to 34131653261033 its reverse (33016235613143), we get a palindrome (67147888874176).

The spelling of 34131653261033 in words is "thirty-four trillion, one hundred thirty-one billion, six hundred fifty-three million, two hundred sixty-one thousand, thirty-three".