4132135631 has 16 divisors (see below), whose sum is σ = 4485983040. Its totient is φ = 3783559680.

The previous prime is 4132135573. The next prime is 4132135639. The reversal of 4132135631 is 1365312314.

4132135631 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4132135631 - 2¹⁴ = 4132119247 is a prime.

It is a super-3 number, since 3×4132135631³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4132135594 and 4132135603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132135639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840326 + ... + 845228.

It is an arithmetic number, because the mean of its divisors is an integer number (280373940).

Almost surely, 2^4132135631 is an apocalyptic number.

4132135631 is a deficient number, since it is larger than the sum of its proper divisors (353847409).

4132135631 is a wasteful number, since it uses less digits than its factorization.

4132135631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426.

The product of its digits is 6480, while the sum is 29.

The square root of 4132135631 is about 64281.6897024339. The cubic root of 4132135631 is about 1604.6913911228.

Adding to 4132135631 its reverse (1365312314), we get a palindrome (5497447945).

The spelling of 4132135631 in words is "four billion, one hundred thirty-two million, one hundred thirty-five thousand, six hundred thirty-one".