133413100013 has 2 divisors, whose sum is σ = 133413100014. Its totient is φ = 133413100012.

The previous prime is 133413099977. The next prime is 133413100027. The reversal of 133413100013 is 310001314331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67177900969 + 66235199044 = 259187^2 + 257362^2 .

It is a cyclic number.

It is not a de Polignac number, because 133413100013 - 2¹² = 133413095917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133413100063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66706550006 + 66706550007.

It is an arithmetic number, because the mean of its divisors is an integer number (66706550007).

Almost surely, 2^133413100013 is an apocalyptic number.

It is an amenable number.

133413100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133413100013 is an equidigital number, since it uses as much as digits as its factorization.

133413100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133413100013 its reverse (310001314331), we get a palindrome (443414414344).

The spelling of 133413100013 in words is "one hundred thirty-three billion, four hundred thirteen million, one hundred thousand, thirteen".