13121413101397 has 2 divisors, whose sum is σ = 13121413101398. Its totient is φ = 13121413101396.

The previous prime is 13121413101389. The next prime is 13121413101427. The reversal of 13121413101397 is 79310131412131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12965825454481 + 155587646916 = 3600809^2 + 394446^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121413101397 - 2³ = 13121413101389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121413101337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560706550698 + 6560706550699.

It is an arithmetic number, because the mean of its divisors is an integer number (6560706550699).

Almost surely, 2^{13121413101397} is an apocalyptic number.

It is an amenable number.

13121413101397 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121413101397 is an equidigital number, since it uses as much as digits as its factorization.

13121413101397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 13121413101397 in words is "thirteen trillion, one hundred twenty-one billion, four hundred thirteen million, one hundred one thousand, three hundred ninety-seven".