10133020110000 has 200 divisors, whose sum is σ = 32720714819584. Its totient is φ = 2701314720000.

The previous prime is 10133020109969. The next prime is 10133020110001. The reversal of 10133020110000 is 1102033101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10133020110001) 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 39 ways as a sum of consecutive naturals, for example, 101680197 + ... + 101779803.

Almost surely, 2^{10133020110000} is an apocalyptic number.

10133020110000 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 10133020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360357409792).

10133020110000 is an abundant number, since it is smaller than the sum of its proper divisors (22587694709584).

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

10133020110000 is an equidigital number, since it uses as much as digits as its factorization.

10133020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103029 (or 103008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10133020110000 its reverse (1102033101), we get a palindrome (10134122143101).

The spelling of 10133020110000 in words is "ten trillion, one hundred thirty-three billion, twenty million, one hundred ten thousand".