321214414001233 has 2 divisors, whose sum is σ = 321214414001234. Its totient is φ = 321214414001232.

The previous prime is 321214414001137. The next prime is 321214414001339. The reversal of 321214414001233 is 332100414412123.

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., 275346465783489 + 45867948217744 = 16593567^2 + 6772588^2 .

It is a cyclic number.

It is not a de Polignac number, because 321214414001233 - 2⁹ = 321214414000721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321214414001195 and 321214414001204.

It is not a weakly prime, because it can be changed into another prime (321214414401233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160607207000616 + 160607207000617.

It is an arithmetic number, because the mean of its divisors is an integer number (160607207000617).

Almost surely, 2^{321214414001233} is an apocalyptic number.

It is an amenable number.

321214414001233 is a deficient number, since it is larger than the sum of its proper divisors (1).

321214414001233 is an equidigital number, since it uses as much as digits as its factorization.

321214414001233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 321214414001233 its reverse (332100414412123), we get a palindrome (653314828413356).

The spelling of 321214414001233 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred fourteen million, one thousand, two hundred thirty-three".