10132133000 has 256 divisors, whose sum is σ = 27359354880. Its totient is φ = 3477600000.

The previous prime is 10132132993. The next prime is 10132133009. The reversal of 10132133000 is 33123101.

It is not an unprimeable number, because it can be changed into a prime (10132133009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14662655 + ... + 14663345.

It is an arithmetic number, because the mean of its divisors is an integer number (106872480).

Almost surely, 2^10132133000 is an apocalyptic number.

10132133000 is a gapful number since it is divisible by the number (10) 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 10132133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679677440).

10132133000 is an abundant number, since it is smaller than the sum of its proper divisors (17227221880).

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

10132133000 is a wasteful number, since it uses less digits than its factorization.

10132133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10132133000 its reverse (33123101), we get a palindrome (10165256101).

The spelling of 10132133000 in words is "ten billion, one hundred thirty-two million, one hundred thirty-three thousand".