2133313314000 has 640 divisors, whose sum is σ = 7675154472960. Its totient is φ = 505440000000.

The previous prime is 2133313313987. The next prime is 2133313314017. The reversal of 2133313314000 is 4133133312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 526611975 + ... + 526616025.

It is an arithmetic number, because the mean of its divisors is an integer number (11992428864).

Almost surely, 2^{2133313314000} is an apocalyptic number.

2133313314000 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 2133313314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837577236480).

2133313314000 is an abundant number, since it is smaller than the sum of its proper divisors (5541841158960).

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

2133313314000 is a wasteful number, since it uses less digits than its factorization.

2133313314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2133313314000 its reverse (4133133312), we get a palindrome (2137446447312).

The spelling of 2133313314000 in words is "two trillion, one hundred thirty-three billion, three hundred thirteen million, three hundred fourteen thousand".