2133333312000 has 1280 divisors, whose sum is σ = 7979073163776. Its totient is φ = 501350400000.

The previous prime is 2133333311953. The next prime is 2133333312023. The reversal of 2133333312000 is 2133333312.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2133333312000² (a number of 25 digits) contains 22 as substring.

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

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, 15571775932 + ... + 15571776068.

Almost surely, 2^{2133333312000} is an apocalyptic number.

2133333312000 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 2133333312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989536581888).

2133333312000 is an abundant number, since it is smaller than the sum of its proper divisors (5845739851776).

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

2133333312000 is a wasteful number, since it uses less digits than its factorization.

2133333312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 2133333312000 its reverse (2133333312), we get a palindrome (2135466645312).

2133333312000 divided by its reverse (2133333312) gives a cube (1000 = 10³).

It can be divided in two parts, 21333 and 33312000, that added together give a palindrome (33333333).

The spelling of 2133333312000 in words is "two trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred twelve thousand".