131138417 has 2 divisors, whose sum is σ = 131138418. Its totient is φ = 131138416.

The previous prime is 131138411. The next prime is 131138419. The reversal of 131138417 is 714831131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129937201 + 1201216 = 11399^2 + 1096^2 .

It is a cyclic number.

It is not a de Polignac number, because 131138417 - 2⁶ = 131138353 is a prime.

Together with 131138419, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131138417.

It is not a weakly prime, because it can be changed into another prime (131138411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65569208 + 65569209.

It is an arithmetic number, because the mean of its divisors is an integer number (65569209).

Almost surely, 2^131138417 is an apocalyptic number.

It is an amenable number.

131138417 is a deficient number, since it is larger than the sum of its proper divisors (1).

131138417 is an equidigital number, since it uses as much as digits as its factorization.

131138417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 131138417 is about 11451.5683205402. The cubic root of 131138417 is about 508.0541216337.

Adding to 131138417 its reverse (714831131), we get a palindrome (845969548).

The spelling of 131138417 in words is "one hundred thirty-one million, one hundred thirty-eight thousand, four hundred seventeen".