126613200664031 has 2 divisors, whose sum is σ = 126613200664032. Its totient is φ = 126613200664030.

The previous prime is 126613200664021. The next prime is 126613200664033. The reversal of 126613200664031 is 130466002316621.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 126613200664031 - 2¹⁸ = 126613200401887 is a prime.

It is a super-2 number, since 2×126613200664031² (a number of 29 digits) contains 22 as substring.

Together with 126613200664033, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126613200664031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126613200664033) 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, 63306600332015 + 63306600332016.

It is an arithmetic number, because the mean of its divisors is an integer number (63306600332016).

Almost surely, 2^{126613200664031} is an apocalyptic number.

126613200664031 is a deficient number, since it is larger than the sum of its proper divisors (1).

126613200664031 is an equidigital number, since it uses as much as digits as its factorization.

126613200664031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 126613200664031 in words is "one hundred twenty-six trillion, six hundred thirteen billion, two hundred million, six hundred sixty-four thousand, thirty-one".