10332132113000 has 256 divisors, whose sum is σ = 25603496755200. Its totient is φ = 3891726777600.

The previous prime is 10332132112993. The next prime is 10332132113041. The reversal of 10332132113000 is 31123123301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3487049519 + ... + 3487052481.

It is an arithmetic number, because the mean of its divisors is an integer number (100013659200).

Almost surely, 2^{10332132113000} is an apocalyptic number.

10332132113000 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 10332132113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801748377600).

10332132113000 is an abundant number, since it is smaller than the sum of its proper divisors (15271364642200).

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

10332132113000 is a wasteful number, since it uses less digits than its factorization.

10332132113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10332132113000 its reverse (31123123301), we get a palindrome (10363255236301).

The spelling of 10332132113000 in words is "ten trillion, three hundred thirty-two billion, one hundred thirty-two million, one hundred thirteen thousand".