131029961 has 2 divisors, whose sum is σ = 131029962. Its totient is φ = 131029960.

The previous prime is 131029949. The next prime is 131029967. The reversal of 131029961 is 169920131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95257600 + 35772361 = 9760^2 + 5981^2 .

It is an emirp because it is prime and its reverse (169920131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131029961 - 2¹⁸ = 130767817 is a prime.

It is not a weakly prime, because it can be changed into another prime (131029967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65514980 + 65514981.

It is an arithmetic number, because the mean of its divisors is an integer number (65514981).

Almost surely, 2^131029961 is an apocalyptic number.

It is an amenable number.

131029961 is a deficient number, since it is larger than the sum of its proper divisors (1).

131029961 is an equidigital number, since it uses as much as digits as its factorization.

131029961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 131029961 is about 11446.8319197934. The cubic root of 131029961 is about 507.9140235695.

The spelling of 131029961 in words is "one hundred thirty-one million, twenty-nine thousand, nine hundred sixty-one".