126581414310031 has 2 divisors, whose sum is σ = 126581414310032. Its totient is φ = 126581414310030.

The previous prime is 126581414309947. The next prime is 126581414310061. The reversal of 126581414310031 is 130013414185621.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126581414310031 is a prime.

It is a super-2 number, since 2×126581414310031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126581414310061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63290707155015 + 63290707155016.

It is an arithmetic number, because the mean of its divisors is an integer number (63290707155016).

Almost surely, 2^{126581414310031} is an apocalyptic number.

126581414310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

126581414310031 is an equidigital number, since it uses as much as digits as its factorization.

126581414310031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 40.

Adding to 126581414310031 its reverse (130013414185621), we get a palindrome (256594828495652).

The spelling of 126581414310031 in words is "one hundred twenty-six trillion, five hundred eighty-one billion, four hundred fourteen million, three hundred ten thousand, thirty-one".