133123123013 has 2 divisors, whose sum is σ = 133123123014. Its totient is φ = 133123123012.

The previous prime is 133123122989. The next prime is 133123123057. The reversal of 133123123013 is 310321321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94431446209 + 38691676804 = 307297^2 + 196702^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123123013 - 2¹⁴ = 133123106629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133123123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133123123073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561561506 + 66561561507.

It is an arithmetic number, because the mean of its divisors is an integer number (66561561507).

Almost surely, 2^133123123013 is an apocalyptic number.

It is an amenable number.

133123123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123123013 is an equidigital number, since it uses as much as digits as its factorization.

133123123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133123123013 its reverse (310321321331), we get a palindrome (443444444344).

The spelling of 133123123013 in words is "one hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-three thousand, thirteen".