131377 has 4 divisors (see below), whose sum is σ = 133120. Its totient is φ = 129636.

The previous prime is 131371. The next prime is 131381. The reversal of 131377 is 773131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 773131 = 619 ⋅1249.

It is a cyclic number.

It is not a de Polignac number, because 131377 - 2⁷ = 131249 is a prime.

It is a super-2 number, since 2×131377² = 34519832258, which contains 22 as substring.

It is a Duffinian number.

131377 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (131371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (33280).

2¹³¹³⁷⁷ is an apocalyptic number.

It is an amenable number.

131377 is a deficient number, since it is larger than the sum of its proper divisors (1743).

131377 is an equidigital number, since it uses as much as digits as its factorization.

131377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its digits is 441, while the sum is 22.

The square root of 131377 is about 362.4596529271. The cubic root of 131377 is about 50.8362039646.

It can be divided in two parts, 1313 and 77, that multiplied together give a palindrome (101101).

The spelling of 131377 in words is "one hundred thirty-one thousand, three hundred seventy-seven".