10133202132 has 108 divisors (see below), whose sum is σ = 27220202100. Its totient is φ = 3177874944.

The previous prime is 10133202103. The next prime is 10133202133. The reversal of 10133202132 is 23120233101.

It can be written as a sum of positive squares in 2 ways, for example, as 5851332036 + 4281870096 = 76494^2 + 65436^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133202133) 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 35 ways as a sum of consecutive naturals, for example, 1933788 + ... + 1939020.

Almost surely, 2^10133202132 is an apocalyptic number.

10133202132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610101050).

10133202132 is an abundant number, since it is smaller than the sum of its proper divisors (17086999968).

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

10133202132 is a wasteful number, since it uses less digits than its factorization.

10133202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5406 counting only the distinct ones).

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

Adding to 10133202132 its reverse (23120233101), we get a palindrome (33253435233).

The spelling of 10133202132 in words is "ten billion, one hundred thirty-three million, two hundred two thousand, one hundred thirty-two".