133003414023013 has 2 divisors, whose sum is σ = 133003414023014. Its totient is φ = 133003414023012.

The previous prime is 133003414022981. The next prime is 133003414023157. The reversal of 133003414023013 is 310320414300331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107811216035524 + 25192197987489 = 10383218^2 + 5019183^2 .

It is a cyclic number.

It is not a de Polignac number, because 133003414023013 - 2⁵ = 133003414022981 is a prime.

It is a super-2 number, since 2×133003414023013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133003414026013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66501707011506 + 66501707011507.

It is an arithmetic number, because the mean of its divisors is an integer number (66501707011507).

Almost surely, 2^{133003414023013} is an apocalyptic number.

It is an amenable number.

133003414023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133003414023013 is an equidigital number, since it uses as much as digits as its factorization.

133003414023013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133003414023013 its reverse (310320414300331), we get a palindrome (443323828323344).

The spelling of 133003414023013 in words is "one hundred thirty-three trillion, three billion, four hundred fourteen million, twenty-three thousand, thirteen".