12797946131081 has 2 divisors, whose sum is σ = 12797946131082. Its totient is φ = 12797946131080.

The previous prime is 12797946131029. The next prime is 12797946131119. The reversal of 12797946131081 is 18013164979721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12398849440000 + 399096691081 = 3521200^2 + 631741^2 .

It is an emirp because it is prime and its reverse (18013164979721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12797946131081 - 2¹⁴ = 12797946114697 is a prime.

It is a super-2 number, since 2×12797946131081² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12797946131081.

It is not a weakly prime, because it can be changed into another prime (12797946131281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6398973065540 + 6398973065541.

It is an arithmetic number, because the mean of its divisors is an integer number (6398973065541).

Almost surely, 2^{12797946131081} is an apocalyptic number.

It is an amenable number.

12797946131081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12797946131081 is an equidigital number, since it uses as much as digits as its factorization.

12797946131081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4572288, while the sum is 59.

The spelling of 12797946131081 in words is "twelve trillion, seven hundred ninety-seven billion, nine hundred forty-six million, one hundred thirty-one thousand, eighty-one".