1033120013 has 2 divisors, whose sum is σ = 1033120014. Its totient is φ = 1033120012.

The previous prime is 1033120001. The next prime is 1033120027. The reversal of 1033120013 is 3100213301.

It is an a-pointer prime, because the next prime (1033120027) can be obtained adding 1033120013 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 978626089 + 54493924 = 31283^2 + 7382^2 .

It is an emirp because it is prime and its reverse (3100213301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1033120013 - 2⁸ = 1033119757 is a prime.

It is a super-2 number, since 2×1033120013² = 2134673922522240338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1033120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033120813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516560006 + 516560007.

It is an arithmetic number, because the mean of its divisors is an integer number (516560007).

Almost surely, 2^1033120013 is an apocalyptic number.

It is an amenable number.

1033120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033120013 is an equidigital number, since it uses as much as digits as its factorization.

1033120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1033120013 is about 32142.1843221645. The cubic root of 1033120013 is about 1010.9203169171.

Adding to 1033120013 its reverse (3100213301), we get a palindrome (4133333314).

The spelling of 1033120013 in words is "one billion, thirty-three million, one hundred twenty thousand, thirteen".