100131000971 has 2 divisors, whose sum is σ = 100131000972. Its totient is φ = 100131000970.

The previous prime is 100131000923. The next prime is 100131000979. The reversal of 100131000971 is 179000131001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131000971 is a prime.

It is not a weakly prime, because it can be changed into another prime (100131000979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065500485 + 50065500486.

It is an arithmetic number, because the mean of its divisors is an integer number (50065500486).

Almost surely, 2^100131000971 is an apocalyptic number.

100131000971 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131000971 is an equidigital number, since it uses as much as digits as its factorization.

100131000971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 23.

Adding to 100131000971 its reverse (179000131001), we get a palindrome (279131131972).

The spelling of 100131000971 in words is "one hundred billion, one hundred thirty-one million, nine hundred seventy-one", and thus it is an aban number.