130033513133 has 2 divisors, whose sum is σ = 130033513134. Its totient is φ = 130033513132.

The previous prime is 130033513121. The next prime is 130033513151. The reversal of 130033513133 is 331315330031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113874527209 + 16158985924 = 337453^2 + 127118^2 .

It is a cyclic number.

It is not a de Polignac number, because 130033513133 - 2⁴ = 130033513117 is a prime.

It is a super-5 number, since 5×130033513133⁵ (a number of 57 digits) contains 55555 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130033513153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65016756566 + 65016756567.

It is an arithmetic number, because the mean of its divisors is an integer number (65016756567).

Almost surely, 2^130033513133 is an apocalyptic number.

It is an amenable number.

130033513133 is a deficient number, since it is larger than the sum of its proper divisors (1).

130033513133 is an equidigital number, since it uses as much as digits as its factorization.

130033513133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 26.

Adding to 130033513133 its reverse (331315330031), we get a palindrome (461348843164).

The spelling of 130033513133 in words is "one hundred thirty billion, thirty-three million, five hundred thirteen thousand, one hundred thirty-three".