10133122320000 has 480 divisors, whose sum is σ = 36456676207380. Its totient is φ = 2700724224000.

The previous prime is 10133122319977. The next prime is 10133122320031. The reversal of 10133122320000 is 2322133101.

10133122320000 is a `hidden beast` number, since 10 + 1 + 331 + 2 + 2 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 440460523584 + 9692661796416 = 663672^2 + 3113304^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2586958042 + ... + 2586961958.

Almost surely, 2^{10133122320000} is an apocalyptic number.

10133122320000 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 10133122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228338103690).

10133122320000 is an abundant number, since it is smaller than the sum of its proper divisors (26323553887380).

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

10133122320000 is an equidigital number, since it uses as much as digits as its factorization.

10133122320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7520 counting only the distinct ones).

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

Adding to 10133122320000 its reverse (2322133101), we get a palindrome (10135444453101).

The spelling of 10133122320000 in words is "ten trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred twenty thousand".