131003321 has 2 divisors, whose sum is σ = 131003322. Its totient is φ = 131003320.

The previous prime is 131003311. The next prime is 131003329. The reversal of 131003321 is 123300131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130074025 + 929296 = 11405^2 + 964^2 .

It is an emirp because it is prime and its reverse (123300131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131003321 - 2¹⁴ = 130986937 is a prime.

It is a super-2 number, since 2×131003321² = 34323740226058082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131003296 and 131003305.

It is not a weakly prime, because it can be changed into another prime (131003329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65501660 + 65501661.

It is an arithmetic number, because the mean of its divisors is an integer number (65501661).

Almost surely, 2^131003321 is an apocalyptic number.

It is an amenable number.

131003321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131003321 is an equidigital number, since it uses as much as digits as its factorization.

131003321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131003321 is about 11445.6682198987. The cubic root of 131003321 is about 507.8795995172.

Adding to 131003321 its reverse (123300131), we get a palindrome (254303452).

The spelling of 131003321 in words is "one hundred thirty-one million, three thousand, three hundred twenty-one".