131321619 has 72 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 71472960.

The previous prime is 131321581. The next prime is 131321627. The reversal of 131321619 is 916123131.

131321619 is a `hidden beast` number, since 13 + 1 + 32 + 1 + 619 = 666.

It is not a de Polignac number, because 131321619 - 2¹² = 131317523 is a prime.

It is a super-2 number, since 2×131321619² = 34490735233562322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131321592 and 131321601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321419) 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 71 ways as a sum of consecutive naturals, for example, 786274 + ... + 786440.

It is an arithmetic number, because the mean of its divisors is an integer number (3197376).

Almost surely, 2^131321619 is an apocalyptic number.

131321619 is a deficient number, since it is larger than the sum of its proper divisors (98889453).

131321619 is a wasteful number, since it uses less digits than its factorization.

131321619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 131321619 is about 11459.5645205217. The cubic root of 131321619 is about 508.2905975241.

The spelling of 131321619 in words is "one hundred thirty-one million, three hundred twenty-one thousand, six hundred nineteen".