13122011321077 has 2 divisors, whose sum is σ = 13122011321078. Its totient is φ = 13122011321076.

The previous prime is 13122011321009. The next prime is 13122011321117. The reversal of 13122011321077 is 77012311022131.

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., 12775091499076 + 346919822001 = 3574226^2 + 588999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13122011321077 is a prime.

It is a super-2 number, since 2×13122011321077² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122011325077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561005660538 + 6561005660539.

It is an arithmetic number, because the mean of its divisors is an integer number (6561005660539).

Almost surely, 2^{13122011321077} is an apocalyptic number.

It is an amenable number.

13122011321077 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122011321077 is an equidigital number, since it uses as much as digits as its factorization.

13122011321077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 13122011321077 in words is "thirteen trillion, one hundred twenty-two billion, eleven million, three hundred twenty-one thousand, seventy-seven".