13121055214301 has 2 divisors, whose sum is σ = 13121055214302. Its totient is φ = 13121055214300.

The previous prime is 13121055214283. The next prime is 13121055214331. The reversal of 13121055214301 is 10341255012131.

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., 9286707708100 + 3834347506201 = 3047410^2 + 1958149^2 .

It is an emirp because it is prime and its reverse (10341255012131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13121055214301 - 2⁴² = 8723008703197 is a prime.

It is a super-2 number, since 2×13121055214301² (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 (13121055214331) 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, 6560527607150 + 6560527607151.

It is an arithmetic number, because the mean of its divisors is an integer number (6560527607151).

Almost surely, 2^{13121055214301} is an apocalyptic number.

It is an amenable number.

13121055214301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121055214301 is an equidigital number, since it uses as much as digits as its factorization.

13121055214301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 13121055214301 in words is "thirteen trillion, one hundred twenty-one billion, fifty-five million, two hundred fourteen thousand, three hundred one".