131157871001 has 2 divisors, whose sum is σ = 131157871002. Its totient is φ = 131157871000.

The previous prime is 131157870989. The next prime is 131157871007. The reversal of 131157871001 is 100178751131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114363006976 + 16794864025 = 338176^2 + 129595^2 .

It is a cyclic number.

It is not a de Polignac number, because 131157871001 - 2¹⁰ = 131157869977 is a prime.

It is not a weakly prime, because it can be changed into another prime (131157871007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65578935500 + 65578935501.

It is an arithmetic number, because the mean of its divisors is an integer number (65578935501).

Almost surely, 2^131157871001 is an apocalyptic number.

It is an amenable number.

131157871001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131157871001 is an equidigital number, since it uses as much as digits as its factorization.

131157871001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 35.

The spelling of 131157871001 in words is "one hundred thirty-one billion, one hundred fifty-seven million, eight hundred seventy-one thousand, one".