1023133313023 has 2 divisors, whose sum is σ = 1023133313024. Its totient is φ = 1023133313022.

The previous prime is 1023133312963. The next prime is 1023133313053. The reversal of 1023133313023 is 3203133313201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1023133313023 - 2²⁹ = 1022596442111 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023133313053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511566656511 + 511566656512.

It is an arithmetic number, because the mean of its divisors is an integer number (511566656512).

Almost surely, 2^{1023133313023} is an apocalyptic number.

1023133313023 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023133313023 is an equidigital number, since it uses as much as digits as its factorization.

1023133313023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1023133313023 its reverse (3203133313201), we get a palindrome (4226266626224).

The spelling of 1023133313023 in words is "one trillion, twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, twenty-three".