214401312412033 has 2 divisors, whose sum is σ = 214401312412034. Its totient is φ = 214401312412032.

The previous prime is 214401312411973. The next prime is 214401312412043. The reversal of 214401312412033 is 330214213104412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188357151602929 + 26044160809104 = 13724327^2 + 5103348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-214401312412033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214401312411986 and 214401312412004.

It is not a weakly prime, because it can be changed into another prime (214401312412043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107200656206016 + 107200656206017.

It is an arithmetic number, because the mean of its divisors is an integer number (107200656206017).

Almost surely, 2^{214401312412033} is an apocalyptic number.

It is an amenable number.

214401312412033 is a deficient number, since it is larger than the sum of its proper divisors (1).

214401312412033 is an equidigital number, since it uses as much as digits as its factorization.

214401312412033 is an odious number, because the sum of its binary digits is odd.

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

Adding to 214401312412033 its reverse (330214213104412), we get a palindrome (544615525516445).

The spelling of 214401312412033 in words is "two hundred fourteen trillion, four hundred one billion, three hundred twelve million, four hundred twelve thousand, thirty-three".