34131413413 has 2 divisors, whose sum is σ = 34131413414. Its totient is φ = 34131413412.

The previous prime is 34131413399. The next prime is 34131413419. The reversal of 34131413413 is 31431413143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22649648004 + 11481765409 = 150498^2 + 107153^2 .

It is a cyclic number.

It is not a de Polignac number, because 34131413413 - 2¹³ = 34131405221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34131413419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065706706 + 17065706707.

It is an arithmetic number, because the mean of its divisors is an integer number (17065706707).

Almost surely, 2^34131413413 is an apocalyptic number.

It is an amenable number.

34131413413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131413413 is an equidigital number, since it uses as much as digits as its factorization.

34131413413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 28.

Adding to 34131413413 its reverse (31431413143), we get a palindrome (65562826556).

The spelling of 34131413413 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirteen thousand, four hundred thirteen".