10403133213 has 32 divisors (see below), whose sum is σ = 16152652800. Its totient is φ = 5888937600.

The previous prime is 10403133203. The next prime is 10403133227. The reversal of 10403133213 is 31233130401.

10403133213 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 10403133213 - 2¹² = 10403129117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10403133213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403133203) 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 31 ways as a sum of consecutive naturals, for example, 72328 + ... + 161361.

It is an arithmetic number, because the mean of its divisors is an integer number (504770400).

Almost surely, 2^10403133213 is an apocalyptic number.

It is an amenable number.

10403133213 is a deficient number, since it is larger than the sum of its proper divisors (5749519587).

10403133213 is a wasteful number, since it uses less digits than its factorization.

10403133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233793.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10403133213 its reverse (31233130401), we get a palindrome (41636263614).

It can be divided in two parts, 10403133 and 213, that multiplied together give a square (2215867329 = 47073²).

The spelling of 10403133213 in words is "ten billion, four hundred three million, one hundred thirty-three thousand, two hundred thirteen".