1323133123033 has 2 divisors, whose sum is σ = 1323133123034. Its totient is φ = 1323133123032.

The previous prime is 1323133123031. The next prime is 1323133123073. The reversal of 1323133123033 is 3303213313231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1047075353289 + 276057769744 = 1023267^2 + 525412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1323133123033 - 2¹ = 1323133123031 is a prime.

It is a super-2 number, since 2×1323133123033² (a number of 25 digits) contains 22 as substring.

Together with 1323133123031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1323133122992 and 1323133123010.

It is not a weakly prime, because it can be changed into another prime (1323133123031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661566561516 + 661566561517.

It is an arithmetic number, because the mean of its divisors is an integer number (661566561517).

Almost surely, 2^{1323133123033} is an apocalyptic number.

It is an amenable number.

1323133123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1323133123033 is an equidigital number, since it uses as much as digits as its factorization.

1323133123033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 1323133123033 its reverse (3303213313231), we get a palindrome (4626346436264).

The spelling of 1323133123033 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-three thousand, thirty-three".