131001100317917 has 2 divisors, whose sum is σ = 131001100317918. Its totient is φ = 131001100317916.

The previous prime is 131001100317877. The next prime is 131001100317937. The reversal of 131001100317917 is 719713001100131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87659233747801 + 43341866570116 = 9362651^2 + 6583454^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001100317917 - 2⁶ = 131001100317853 is a prime.

It is a super-2 number, since 2×131001100317917² (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 (131001100317937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500550158958 + 65500550158959.

It is an arithmetic number, because the mean of its divisors is an integer number (65500550158959).

Almost surely, 2^{131001100317917} is an apocalyptic number.

It is an amenable number.

131001100317917 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001100317917 is an equidigital number, since it uses as much as digits as its factorization.

131001100317917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 35.

The spelling of 131001100317917 in words is "one hundred thirty-one trillion, one billion, one hundred million, three hundred seventeen thousand, nine hundred seventeen".