2133012221340 has 576 divisors, whose sum is σ = 8352015598080. Its totient is φ = 399611197440.

The previous prime is 2133012221293. The next prime is 2133012221357. The reversal of 2133012221340 is 431222103312.

It is a super-2 number, since 2×2133012221340² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2133012221340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18019066 + ... + 18137054.

It is an arithmetic number, because the mean of its divisors is an integer number (14500027080).

Almost surely, 2^{2133012221340} is an apocalyptic number.

2133012221340 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 2133012221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176007799040).

2133012221340 is an abundant number, since it is smaller than the sum of its proper divisors (6219003376740).

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

2133012221340 is a wasteful number, since it uses less digits than its factorization.

2133012221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118082 (or 118073 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2133012221340 its reverse (431222103312), we get a palindrome (2564234324652).

The spelling of 2133012221340 in words is "two trillion, one hundred thirty-three billion, twelve million, two hundred twenty-one thousand, three hundred forty".