2133323310000 has 200 divisors, whose sum is σ = 7046811048640. Its totient is φ = 555655968000.

The previous prime is 2133323309983. The next prime is 2133323310037. The reversal of 2133323310000 is 133233312.

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

It is a super-2 number, since 2×2133323310000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 463131 + ... + 2116869.

Almost surely, 2^{2133323310000} is an apocalyptic number.

2133323310000 is a gapful number since it is divisible by the number (20) 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 2133323310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523405524320).

2133323310000 is an abundant number, since it is smaller than the sum of its proper divisors (4913487738640).

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

2133323310000 is a wasteful number, since it uses less digits than its factorization.

2133323310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653813 (or 1653792 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2133323310000 its reverse (133233312), we get a palindrome (2133456543312).

The spelling of 2133323310000 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-three million, three hundred ten thousand".