10133431011 has 48 divisors (see below), whose sum is σ = 16677902592. Its totient is φ = 5868878400.

The previous prime is 10133430997. The next prime is 10133431037. The reversal of 10133431011 is 11013433101.

10133431011 is a `hidden beast` number, since 10 + 1 + 334 + 310 + 11 = 666.

It is not a de Polignac number, because 10133431011 - 2¹⁵ = 10133398243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133431811) 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 47 ways as a sum of consecutive naturals, for example, 4577941 + ... + 4580153.

It is an arithmetic number, because the mean of its divisors is an integer number (347456304).

Almost surely, 2^10133431011 is an apocalyptic number.

10133431011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133431011 is a deficient number, since it is larger than the sum of its proper divisors (6544471581).

10133431011 is a wasteful number, since it uses less digits than its factorization.

10133431011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10133431011 its reverse (11013433101), we get a palindrome (21146864112).

It can be divided in two parts, 10133 and 431011, that added together give a palindrome (441144).

The spelling of 10133431011 in words is "ten billion, one hundred thirty-three million, four hundred thirty-one thousand, eleven".