13133005829 has 2 divisors, whose sum is σ = 13133005830. Its totient is φ = 13133005828.

The previous prime is 13133005817. The next prime is 13133005841. The reversal of 13133005829 is 92850033131.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (13133005817) and next prime (13133005841).

It can be written as a sum of positive squares in only one way, i.e., 13064032804 + 68973025 = 114298^2 + 8305^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133005829 - 2¹² = 13133001733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133005849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566502914 + 6566502915.

It is an arithmetic number, because the mean of its divisors is an integer number (6566502915).

Almost surely, 2^13133005829 is an apocalyptic number.

It is an amenable number.

13133005829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133005829 is an equidigital number, since it uses as much as digits as its factorization.

13133005829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 13133005829 in words is "thirteen billion, one hundred thirty-three million, five thousand, eight hundred twenty-nine".