131106961 has 2 divisors, whose sum is σ = 131106962. Its totient is φ = 131106960.

The previous prime is 131106929. The next prime is 131106977. The reversal of 131106961 is 169601131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130416400 + 690561 = 11420^2 + 831^2 .

It is a cyclic number.

It is not a de Polignac number, because 131106961 - 2⁵ = 131106929 is a prime.

It is not a weakly prime, because it can be changed into another prime (131106901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65553480 + 65553481.

It is an arithmetic number, because the mean of its divisors is an integer number (65553481).

Almost surely, 2^131106961 is an apocalyptic number.

It is an amenable number.

131106961 is a deficient number, since it is larger than the sum of its proper divisors (1).

131106961 is an equidigital number, since it uses as much as digits as its factorization.

131106961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 131106961 is about 11450.1948018363. The cubic root of 131106961 is about 508.0134962934.

The spelling of 131106961 in words is "one hundred thirty-one million, one hundred six thousand, nine hundred sixty-one".