10013330330133 has 32 divisors (see below), whose sum is σ = 14539937932800. Its totient is φ = 6092815804416.

The previous prime is 10013330330027. The next prime is 10013330330137. The reversal of 10013330330133 is 33103303331001.

It is not a de Polignac number, because 10013330330133 - 2⁹ = 10013330329621 is a prime.

It is a super-2 number, since 2×10013330330133² (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 (10013330330137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2805988 + ... + 5282066.

It is an arithmetic number, because the mean of its divisors is an integer number (454373060400).

Almost surely, 2^{10013330330133} is an apocalyptic number.

10013330330133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013330330133 is a deficient number, since it is larger than the sum of its proper divisors (4526607602667).

10013330330133 is a wasteful number, since it uses less digits than its factorization.

10013330330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477261.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 10013330330133 its reverse (33103303331001), we get a palindrome (43116633661134).

The spelling of 10013330330133 in words is "ten trillion, thirteen billion, three hundred thirty million, three hundred thirty thousand, one hundred thirty-three".