131382005 has 16 divisors (see below), whose sum is σ = 162313200. Its totient is φ = 102016512.

The previous prime is 131381993. The next prime is 131382007. The reversal of 131382005 is 500283131.

It can be written as a sum of positive squares in 8 ways, for example, as 60855601 + 70526404 = 7801^2 + 8398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131382005 is a prime.

It is a super-2 number, since 2×131382005² = 34522462475640050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131382007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124721 + ... + 125769.

It is an arithmetic number, because the mean of its divisors is an integer number (10144575).

Almost surely, 2^131382005 is an apocalyptic number.

It is an amenable number.

131382005 is a deficient number, since it is larger than the sum of its proper divisors (30931195).

131382005 is a wasteful number, since it uses less digits than its factorization.

131382005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 131382005 is about 11462.1989600600. The cubic root of 131382005 is about 508.3684951640.

The spelling of 131382005 in words is "one hundred thirty-one million, three hundred eighty-two thousand, five".