10133122032 has 200 divisors, whose sum is σ = 32074470912. Its totient is φ = 3062966400.

The previous prime is 10133122019. The next prime is 10133122033. The reversal of 10133122032 is 23022133101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10133121996 and 10133122014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133122033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8652807 + ... + 8653977.

Almost surely, 2^10133122032 is an apocalyptic number.

10133122032 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 10133122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037235456).

10133122032 is an abundant number, since it is smaller than the sum of its proper divisors (21941348880).

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

10133122032 is a wasteful number, since it uses less digits than its factorization.

10133122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

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

Adding to 10133122032 its reverse (23022133101), we get a palindrome (33155255133).

It can be divided in two parts, 101 and 33122032, that added together give a palindrome (33122133).

The spelling of 10133122032 in words is "ten billion, one hundred thirty-three million, one hundred twenty-two thousand, thirty-two".