10004340032033 has 2 divisors, whose sum is σ = 10004340032034. Its totient is φ = 10004340032032.

The previous prime is 10004340031963. The next prime is 10004340032081. The reversal of 10004340032033 is 33023004340001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8242221839329 + 1762118192704 = 2870927^2 + 1327448^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004340032033 - 2²⁴ = 10004323254817 is a prime.

It is a super-2 number, since 2×10004340032033² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10004340052033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002170016016 + 5002170016017.

It is an arithmetic number, because the mean of its divisors is an integer number (5002170016017).

Almost surely, 2^{10004340032033} is an apocalyptic number.

It is an amenable number.

10004340032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004340032033 is an equidigital number, since it uses as much as digits as its factorization.

10004340032033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 10004340032033 its reverse (33023004340001), we get a palindrome (43027344372034).

The spelling of 10004340032033 in words is "ten trillion, four billion, three hundred forty million, thirty-two thousand, thirty-three".