10133022133120 has 128 divisors (see below), whose sum is σ = 24443140659840. Its totient is φ = 4016598319104.

The previous prime is 10133022133067. The next prime is 10133022133139. The reversal of 10133022133120 is 2133122033101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10133022133091 and 10133022133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558807574 + ... + 558825706.

It is an arithmetic number, because the mean of its divisors is an integer number (190962036405).

Almost surely, 2^{10133022133120} is an apocalyptic number.

10133022133120 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 10133022133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221570329920).

10133022133120 is an abundant number, since it is smaller than the sum of its proper divisors (14310118526720).

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

10133022133120 is a wasteful number, since it uses less digits than its factorization.

10133022133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25992 (or 25980 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10133022133120 its reverse (2133122033101), we get a palindrome (12266144166221).

The spelling of 10133022133120 in words is "ten trillion, one hundred thirty-three billion, twenty-two million, one hundred thirty-three thousand, one hundred twenty".