4003134322321 has 2 divisors, whose sum is σ = 4003134322322. Its totient is φ = 4003134322320.

The previous prime is 4003134322217. The next prime is 4003134322373. The reversal of 4003134322321 is 1232234313004.

It is a happy number.

4003134322321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3473150322321 + 529984000000 = 1863639^2 + 728000^2 .

It is a cyclic number.

It is not a de Polignac number, because 4003134322321 - 2⁷ = 4003134322193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4003134322321.

It is not a weakly prime, because it can be changed into another prime (4003134328321) 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, 2001567161160 + 2001567161161.

It is an arithmetic number, because the mean of its divisors is an integer number (2001567161161).

Almost surely, 2^{4003134322321} is an apocalyptic number.

It is an amenable number.

4003134322321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003134322321 is an equidigital number, since it uses as much as digits as its factorization.

4003134322321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4003134322321 its reverse (1232234313004), we get a palindrome (5235368635325).

The spelling of 4003134322321 in words is "four trillion, three billion, one hundred thirty-four million, three hundred twenty-two thousand, three hundred twenty-one".