131661123 has 32 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 76682400.

The previous prime is 131661109. The next prime is 131661137. The reversal of 131661123 is 321166131.

It is an interprime number because it is at equal distance from previous prime (131661109) and next prime (131661137).

It is not a de Polignac number, because 131661123 - 2⁵ = 131661091 is a prime.

It is a super-2 number, since 2×131661123² = 34669302619242258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131661093 and 131661102.

It is not an unprimeable number, because it can be changed into a prime (131661143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182758 + ... + 183476.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2^131661123 is an apocalyptic number.

131661123 is a deficient number, since it is larger than the sum of its proper divisors (67404477).

131661123 is a wasteful number, since it uses less digits than its factorization.

131661123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its digits is 648, while the sum is 24.

The square root of 131661123 is about 11474.3680871759. The cubic root of 131661123 is about 508.7282461867.

The spelling of 131661123 in words is "one hundred thirty-one million, six hundred sixty-one thousand, one hundred twenty-three".