10120033413 has 24 divisors (see below), whose sum is σ = 16709704128. Its totient is φ = 5781624192.

The previous prime is 10120033393. The next prime is 10120033423. The reversal of 10120033413 is 31433002101.

10120033413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120033413 - 2¹⁰ = 10120032389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120033423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330781 + ... + 360077.

It is an arithmetic number, because the mean of its divisors is an integer number (696237672).

Almost surely, 2^10120033413 is an apocalyptic number.

It is an amenable number.

10120033413 is a deficient number, since it is larger than the sum of its proper divisors (6589670715).

10120033413 is a wasteful number, since it uses less digits than its factorization.

10120033413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34793 (or 34790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10120033413 its reverse (31433002101), we get a palindrome (41553035514).

It can be divided in two parts, 1012003341 and 3, that added together give a square (1012003344 = 31812²).

The spelling of 10120033413 in words is "ten billion, one hundred twenty million, thirty-three thousand, four hundred thirteen".