10133013132 has 72 divisors (see below), whose sum is σ = 29586250512. Its totient is φ = 2889984000.

The previous prime is 10133013119. The next prime is 10133013133. The reversal of 10133013132 is 23131033101.

It is a happy number.

10133013132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10133013133) 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, 745869 + ... + 759332.

It is an arithmetic number, because the mean of its divisors is an integer number (410920146).

Almost surely, 2^10133013132 is an apocalyptic number.

10133013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133013132 is an abundant number, since it is smaller than the sum of its proper divisors (19453237380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133013132 is a wasteful number, since it uses less digits than its factorization.

10133013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505239 (or 1505234 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133013132 its reverse (23131033101), we get a palindrome (33264046233).

The spelling of 10133013132 in words is "ten billion, one hundred thirty-three million, thirteen thousand, one hundred thirty-two".