13022032101349 has 2 divisors, whose sum is σ = 13022032101350. Its totient is φ = 13022032101348.

The previous prime is 13022032101347. The next prime is 13022032101391. The reversal of 13022032101349 is 94310123022031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8119040468449 + 4902991632900 = 2849393^2 + 2214270^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022032101349 - 2¹ = 13022032101347 is a prime.

Together with 13022032101347, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13022032101349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022032101347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511016050674 + 6511016050675.

It is an arithmetic number, because the mean of its divisors is an integer number (6511016050675).

Almost surely, 2^{13022032101349} is an apocalyptic number.

It is an amenable number.

13022032101349 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022032101349 is an equidigital number, since it uses as much as digits as its factorization.

13022032101349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 13022032101349 in words is "thirteen trillion, twenty-two billion, thirty-two million, one hundred one thousand, three hundred forty-nine".