101323033013 has 2 divisors, whose sum is σ = 101323033014. Its totient is φ = 101323033012.

The previous prime is 101323032989. The next prime is 101323033027. The reversal of 101323033013 is 310330323101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100728794884 + 594238129 = 317378^2 + 24377^2 .

It is a cyclic number.

It is not a de Polignac number, because 101323033013 - 2¹⁸ = 101322770869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101323033813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661516506 + 50661516507.

It is an arithmetic number, because the mean of its divisors is an integer number (50661516507).

Almost surely, 2^101323033013 is an apocalyptic number.

It is an amenable number.

101323033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323033013 is an equidigital number, since it uses as much as digits as its factorization.

101323033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 101323033013 its reverse (310330323101), we get a palindrome (411653356114).

The spelling of 101323033013 in words is "one hundred one billion, three hundred twenty-three million, thirty-three thousand, thirteen".