131131001 has 2 divisors, whose sum is σ = 131131002. Its totient is φ = 131131000.

The previous prime is 131130991. The next prime is 131131003. The reversal of 131131001 is 100131131.

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., 86508601 + 44622400 = 9301^2 + 6680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131131001 is a prime.

Together with 131131003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131131003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65565500 + 65565501.

It is an arithmetic number, because the mean of its divisors is an integer number (65565501).

Almost surely, 2^131131001 is an apocalyptic number.

It is an amenable number.

131131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131131001 is an equidigital number, since it uses as much as digits as its factorization.

131131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 131131001 is about 11451.2445175186. The cubic root of 131131001 is about 508.0445444747.

Adding to 131131001 its reverse (100131131), we get a palindrome (231262132).

The spelling of 131131001 in words is "one hundred thirty-one million, one hundred thirty-one thousand, one".