131133132300097 has 2 divisors, whose sum is σ = 131133132300098. Its totient is φ = 131133132300096.

The previous prime is 131133132299957. The next prime is 131133132300103. The reversal of 131133132300097 is 790003231331131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116879796721216 + 14253335578881 = 10811096^2 + 3775359^2 .

It is a cyclic number.

It is not a de Polignac number, because 131133132300097 - 2¹⁵ = 131133132267329 is a prime.

It is not a weakly prime, because it can be changed into another prime (131133132300397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566566150048 + 65566566150049.

It is an arithmetic number, because the mean of its divisors is an integer number (65566566150049).

Almost surely, 2^{131133132300097} is an apocalyptic number.

It is an amenable number.

131133132300097 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133132300097 is an equidigital number, since it uses as much as digits as its factorization.

131133132300097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 37.

The spelling of 131133132300097 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, one hundred thirty-two million, three hundred thousand, ninety-seven".