2623201105321 has 2 divisors, whose sum is σ = 2623201105322. Its totient is φ = 2623201105320.

The previous prime is 2623201105309. The next prime is 2623201105331. The reversal of 2623201105321 is 1235011023262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2616645936025 + 6555169296 = 1617605^2 + 80964^2 .

It is a cyclic number.

It is not a de Polignac number, because 2623201105321 - 2¹⁹ = 2623200581033 is a prime.

It is a super-2 number, since 2×2623201105321² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2623201105321.

It is not a weakly prime, because it can be changed into another prime (2623201105331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1311600552660 + 1311600552661.

It is an arithmetic number, because the mean of its divisors is an integer number (1311600552661).

Almost surely, 2^{2623201105321} is an apocalyptic number.

It is an amenable number.

2623201105321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2623201105321 is an equidigital number, since it uses as much as digits as its factorization.

2623201105321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 2623201105321 its reverse (1235011023262), we get a palindrome (3858212128583).

The spelling of 2623201105321 in words is "two trillion, six hundred twenty-three billion, two hundred one million, one hundred five thousand, three hundred twenty-one".