32024020013 has 2 divisors, whose sum is σ = 32024020014. Its totient is φ = 32024020012.

The previous prime is 32024019983. The next prime is 32024020043. The reversal of 32024020013 is 31002042023.

It is a balanced prime because it is at equal distance from previous prime (32024019983) and next prime (32024020043).

It can be written as a sum of positive squares in only one way, i.e., 32011650724 + 12369289 = 178918^2 + 3517^2 .

It is a cyclic number.

It is not a de Polignac number, because 32024020013 - 2¹⁰ = 32024018989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32024019973 and 32024020000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32024020043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16012010006 + 16012010007.

It is an arithmetic number, because the mean of its divisors is an integer number (16012010007).

Almost surely, 2^32024020013 is an apocalyptic number.

It is an amenable number.

32024020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32024020013 is an equidigital number, since it uses as much as digits as its factorization.

32024020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 32024020013 its reverse (31002042023), we get a palindrome (63026062036).

The spelling of 32024020013 in words is "thirty-two billion, twenty-four million, twenty thousand, thirteen".