321012031201441 has 2 divisors, whose sum is σ = 321012031201442. Its totient is φ = 321012031201440.

The previous prime is 321012031201373. The next prime is 321012031201447. The reversal of 321012031201441 is 144102130210123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314823275427600 + 6188755773841 = 17743260^2 + 2487721^2 .

It is a cyclic number.

It is not a de Polignac number, because 321012031201441 - 2³⁷ = 320874592247969 is a prime.

It is a super-2 number, since 2×321012031201441² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (321012031201447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160506015600720 + 160506015600721.

It is an arithmetic number, because the mean of its divisors is an integer number (160506015600721).

Almost surely, 2^{321012031201441} is an apocalyptic number.

It is an amenable number.

321012031201441 is a deficient number, since it is larger than the sum of its proper divisors (1).

321012031201441 is an equidigital number, since it uses as much as digits as its factorization.

321012031201441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 321012031201441 its reverse (144102130210123), we get a palindrome (465114161411564).

The spelling of 321012031201441 in words is "three hundred twenty-one trillion, twelve billion, thirty-one million, two hundred one thousand, four hundred forty-one".