2033213133132 has 96 divisors (see below), whose sum is σ = 5346533606400. Its totient is φ = 668067523200.

The previous prime is 2033213133131. The next prime is 2033213133167. The reversal of 2033213133132 is 2313313123302.

2033213133132 is a `hidden beast` number, since 2 + 0 + 3 + 32 + 1 + 313 + 313 + 2 = 666.

It is a super-2 number, since 2×2033213133132² (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 = 2033213133096 and 2033213133105.

It is not an unprimeable number, because it can be changed into a prime (2033213133131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46914169 + ... + 46957487.

It is an arithmetic number, because the mean of its divisors is an integer number (55693058400).

Almost surely, 2^{2033213133132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033213133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673266803200).

2033213133132 is an abundant number, since it is smaller than the sum of its proper divisors (3313320473268).

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

2033213133132 is a wasteful number, since it uses less digits than its factorization.

2033213133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49524 (or 49516 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2033213133132 its reverse (2313313123302), we get a palindrome (4346526256434).

The spelling of 2033213133132 in words is "two trillion, thirty-three billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-two".