20133124513 has 2 divisors, whose sum is σ = 20133124514. Its totient is φ = 20133124512.

The previous prime is 20133124511. The next prime is 20133124523. The reversal of 20133124513 is 31542133102.

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., 14359708224 + 5773416289 = 119832^2 + 75983^2 .

It is a cyclic number.

It is not a de Polignac number, because 20133124513 - 2¹ = 20133124511 is a prime.

It is a super-2 number, since 2×20133124513² (a number of 21 digits) contains 22 as substring.

Together with 20133124511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20133124511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066562256 + 10066562257.

It is an arithmetic number, because the mean of its divisors is an integer number (10066562257).

Almost surely, 2^20133124513 is an apocalyptic number.

It is an amenable number.

20133124513 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133124513 is an equidigital number, since it uses as much as digits as its factorization.

20133124513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 20133124513 its reverse (31542133102), we get a palindrome (51675257615).

The spelling of 20133124513 in words is "twenty billion, one hundred thirty-three million, one hundred twenty-four thousand, five hundred thirteen".