10033013030013 has 24 divisors (see below), whose sum is σ = 14499763876416. Its totient is φ = 6685152566400.

The previous prime is 10033013029997. The next prime is 10033013030069. The reversal of 10033013030013 is 31003031033001.

10033013030013 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 1 + 30 + 300 + 1 + 3 = 666.

It is not a de Polignac number, because 10033013030013 - 2⁴ = 10033013029997 is a prime.

It is a super-2 number, since 2×10033013030013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033013030213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354421606 + ... + 354449912.

It is an arithmetic number, because the mean of its divisors is an integer number (604156828184).

Almost surely, 2^{10033013030013} is an apocalyptic number.

It is an amenable number.

10033013030013 is a deficient number, since it is larger than the sum of its proper divisors (4466750846403).

10033013030013 is a wasteful number, since it uses less digits than its factorization.

10033013030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47665 (or 47662 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10033013030013 its reverse (31003031033001), we get a palindrome (41036044063014).

The spelling of 10033013030013 in words is "ten trillion, thirty-three billion, thirteen million, thirty thousand, thirteen".