10033120013 has 8 divisors (see below), whose sum is σ = 11467181760. Its totient is φ = 8599248000.

The previous prime is 10033119919. The next prime is 10033120051. The reversal of 10033120013 is 31002133001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10033120013 - 2⁸ = 10033119757 is a prime.

It is a super-2 number, since 2×10033120013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10033120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033120063) 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 in 7 ways as a sum of consecutive naturals, for example, 94013 + ... + 170013.

It is an arithmetic number, because the mean of its divisors is an integer number (1433397720).

Almost surely, 2^10033120013 is an apocalyptic number.

It is an amenable number.

10033120013 is a deficient number, since it is larger than the sum of its proper divisors (1434061747).

10033120013 is an equidigital number, since it uses as much as digits as its factorization.

10033120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94867.

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

Adding to 10033120013 its reverse (31002133001), we get a palindrome (41035253014).

The spelling of 10033120013 in words is "ten billion, thirty-three million, one hundred twenty thousand, thirteen".