20314121241961 has 2 divisors, whose sum is σ = 20314121241962. Its totient is φ = 20314121241960.

The previous prime is 20314121241937. The next prime is 20314121242033. The reversal of 20314121241961 is 16914212141302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14563909080361 + 5750212161600 = 3816269^2 + 2397960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20314121241961 is a prime.

It is a super-3 number, since 3×20314121241961³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20314121241961.

It is not a weakly prime, because it can be changed into another prime (20314121241361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10157060620980 + 10157060620981.

It is an arithmetic number, because the mean of its divisors is an integer number (10157060620981).

Almost surely, 2^{20314121241961} is an apocalyptic number.

It is an amenable number.

20314121241961 is a deficient number, since it is larger than the sum of its proper divisors (1).

20314121241961 is an equidigital number, since it uses as much as digits as its factorization.

20314121241961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 20314121241961 in words is "twenty trillion, three hundred fourteen billion, one hundred twenty-one million, two hundred forty-one thousand, nine hundred sixty-one".