1033331221332 has 240 divisors, whose sum is σ = 2757086640000. Its totient is φ = 337430935296.

The previous prime is 1033331221331. The next prime is 1033331221337. The reversal of 1033331221332 is 2331221333301.

1033331221332 is a `hidden beast` number, since 1 + 0 + 333 + 312 + 2 + 13 + 3 + 2 = 666.

1033331221332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1033331221332³ (a number of 37 digits) contains 333 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 = 1033331221296 and 1033331221305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033331221331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889087883 + ... + 1889088429.

It is an arithmetic number, because the mean of its divisors is an integer number (11487861000).

Almost surely, 2^{1033331221332} is an apocalyptic number.

1033331221332 is a gapful number since it is divisible by the number (12) 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 1033331221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378543320000).

1033331221332 is an abundant number, since it is smaller than the sum of its proper divisors (1723755418668).

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

1033331221332 is a wasteful number, since it uses less digits than its factorization.

1033331221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1169 counting only the distinct ones).

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

Adding to 1033331221332 its reverse (2331221333301), we get a palindrome (3364552554633).

The spelling of 1033331221332 in words is "one trillion, thirty-three billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred thirty-two".