131214409 has 2 divisors, whose sum is σ = 131214410. Its totient is φ = 131214408.

The previous prime is 131214403. The next prime is 131214427. The reversal of 131214409 is 904412131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125440000 + 5774409 = 11200^2 + 2403^2 .

It is a cyclic number.

It is not a de Polignac number, because 131214409 - 2²⁵ = 97659977 is a prime.

It is a super-2 number, since 2×131214409² = 34434442258438562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65607204 + 65607205.

It is an arithmetic number, because the mean of its divisors is an integer number (65607205).

Almost surely, 2^131214409 is an apocalyptic number.

It is an amenable number.

131214409 is a deficient number, since it is larger than the sum of its proper divisors (1).

131214409 is an equidigital number, since it uses as much as digits as its factorization.

131214409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 131214409 is about 11454.8858134859. The cubic root of 131214409 is about 508.1522383020.

The spelling of 131214409 in words is "one hundred thirty-one million, two hundred fourteen thousand, four hundred nine".