2133221243130 has 320 divisors, whose sum is σ = 6132194893440. Its totient is φ = 530530228224.

The previous prime is 2133221243117. The next prime is 2133221243143. The reversal of 2133221243130 is 313421223312.

2133221243130 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 221 + 2 + 431 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2133221243117) and next prime (2133221243143).

It is a super-2 number, since 2×2133221243130² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2133221243094 and 2133221243103.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 722389734 + ... + 722392686.

It is an arithmetic number, because the mean of its divisors is an integer number (19163109042).

Almost surely, 2^{2133221243130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133221243130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066097446720).

2133221243130 is an abundant number, since it is smaller than the sum of its proper divisors (3998973650310).

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

2133221243130 is a wasteful number, since it uses less digits than its factorization.

2133221243130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2133221243130 its reverse (313421223312), we get a palindrome (2446642466442).

The spelling of 2133221243130 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-one million, two hundred forty-three thousand, one hundred thirty".