10033004013 has 8 divisors (see below), whose sum is σ = 13424609568. Its totient is φ = 6665033904.

The previous prime is 10033004011. The next prime is 10033004057. The reversal of 10033004013 is 31040033001.

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

It is not a de Polignac number, because 10033004013 - 2¹ = 10033004011 is a prime.

It is a super-2 number, since 2×10033004013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10033003983 and 10033004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033004011) 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 in 7 ways as a sum of consecutive naturals, for example, 5907870 + ... + 5909567.

It is an arithmetic number, because the mean of its divisors is an integer number (1678076196).

Almost surely, 2^10033004013 is an apocalyptic number.

It is an amenable number.

10033004013 is a deficient number, since it is larger than the sum of its proper divisors (3391605555).

10033004013 is a wasteful number, since it uses less digits than its factorization.

10033004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817723.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10033004013 its reverse (31040033001), we get a palindrome (41073037014).

The spelling of 10033004013 in words is "ten billion, thirty-three million, four thousand, thirteen".