131505301 has 2 divisors, whose sum is σ = 131505302. Its totient is φ = 131505300.

The previous prime is 131505299. The next prime is 131505313. The reversal of 131505301 is 103505131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122080401 + 9424900 = 11049^2 + 3070^2 .

It is a cyclic number.

It is not a de Polignac number, because 131505301 - 2¹ = 131505299 is a prime.

It is a super-2 number, since 2×131505301² = 34587288382201202, which contains 22 as substring.

Together with 131505299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131505371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65752650 + 65752651.

It is an arithmetic number, because the mean of its divisors is an integer number (65752651).

Almost surely, 2^131505301 is an apocalyptic number.

It is an amenable number.

131505301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131505301 is an equidigital number, since it uses as much as digits as its factorization.

131505301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 131505301 is about 11467.5760734342. The cubic root of 131505301 is about 508.5274723005.

The spelling of 131505301 in words is "one hundred thirty-one million, five hundred five thousand, three hundred one".