2133022203312 has 320 divisors, whose sum is σ = 7459619220480. Its totient is φ = 511412520960.

The previous prime is 2133022203311. The next prime is 2133022203391.

2133022203312 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (2133022203311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5630364 + ... + 5997252.

It is an arithmetic number, because the mean of its divisors is an integer number (23311310064).

Almost surely, 2^{2133022203312} is an apocalyptic number.

2133022203312 is a gapful number since it is divisible by the number (22) 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 2133022203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729809610240).

2133022203312 is an abundant number, since it is smaller than the sum of its proper divisors (5326597017168).

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

2133022203312 is a wasteful number, since it uses less digits than its factorization.

2133022203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366953 (or 366925 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 2133022203312 in words is "two trillion, one hundred thirty-three billion, twenty-two million, two hundred three thousand, three hundred twelve".