34121981311381 has 2 divisors, whose sum is σ = 34121981311382. Its totient is φ = 34121981311380.

The previous prime is 34121981311373. The next prime is 34121981311387. The reversal of 34121981311381 is 18311318912143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29393030913156 + 4728950398225 = 5421534^2 + 2174615^2 .

It is a cyclic number.

It is not a de Polignac number, because 34121981311381 - 2³ = 34121981311373 is a prime.

It is a super-2 number, since 2×34121981311381² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34121981311387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060990655690 + 17060990655691.

It is an arithmetic number, because the mean of its divisors is an integer number (17060990655691).

Almost surely, 2^{34121981311381} is an apocalyptic number.

It is an amenable number.

34121981311381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34121981311381 is an equidigital number, since it uses as much as digits as its factorization.

34121981311381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 46.

The spelling of 34121981311381 in words is "thirty-four trillion, one hundred twenty-one billion, nine hundred eighty-one million, three hundred eleven thousand, three hundred eighty-one".