131381 has 2 divisors, whose sum is σ = 131382. Its totient is φ = 131380.

The previous prime is 131371. The next prime is 131413. The reversal of 131381 is 183131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128881 + 2500 = 359^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 131381 - 2⁶ = 131317 is a prime.

It is a super-2 number, since 2×131381² = 34521934322, which contains 22 as substring.

It is equal to p₁₂₂₇₅ and since 131381 and 12275 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65690 + 65691.

It is an arithmetic number, because the mean of its divisors is an integer number (65691).

2¹³¹³⁸¹ is an apocalyptic number.

It is an amenable number.

131381 is a deficient number, since it is larger than the sum of its proper divisors (1).

131381 is an equidigital number, since it uses as much as digits as its factorization.

131381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 131381 is about 362.4651707406. The cubic root of 131381 is about 50.8367198914.

It can be divided in two parts, 131 and 381, that added together give a 9-th power (512 = 2⁹).

The spelling of 131381 in words is "one hundred thirty-one thousand, three hundred eighty-one".