122563190131831 has 2 divisors, whose sum is σ = 122563190131832. Its totient is φ = 122563190131830.

The previous prime is 122563190131747. The next prime is 122563190131883. The reversal of 122563190131831 is 138131091365221.

It is a strong prime.

It is an emirp because it is prime and its reverse (138131091365221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122563190131831 is a prime.

It is a super-3 number, since 3×122563190131831³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122563190131231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61281595065915 + 61281595065916.

It is an arithmetic number, because the mean of its divisors is an integer number (61281595065916).

Almost surely, 2^{122563190131831} is an apocalyptic number.

122563190131831 is a deficient number, since it is larger than the sum of its proper divisors (1).

122563190131831 is an equidigital number, since it uses as much as digits as its factorization.

122563190131831 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 122563190131831 in words is "one hundred twenty-two trillion, five hundred sixty-three billion, one hundred ninety million, one hundred thirty-one thousand, eight hundred thirty-one".