1322131001 has 2 divisors, whose sum is σ = 1322131002. Its totient is φ = 1322131000.

The previous prime is 1322130991. The next prime is 1322131007. The reversal of 1322131001 is 1001312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964164601 + 357966400 = 31051^2 + 18920^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322131001 - 2¹⁴ = 1322114617 is a prime.

It is a super-3 number, since 3×1322131001³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1322131007) 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 as a sum of consecutive naturals, namely, 661065500 + 661065501.

It is an arithmetic number, because the mean of its divisors is an integer number (661065501).

Almost surely, 2^1322131001 is an apocalyptic number.

It is an amenable number.

1322131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131001 is an equidigital number, since it uses as much as digits as its factorization.

1322131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1322131001 is about 36361.1193584576. The cubic root of 1322131001 is about 1097.5513026144.

Adding to 1322131001 its reverse (1001312231), we get a palindrome (2323443232).

The spelling of 1322131001 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, one".