133303213332 has 72 divisors (see below), whose sum is σ = 352497914496. Its totient is φ = 42395310144.

The previous prime is 133303213301. The next prime is 133303213339. The reversal of 133303213332 is 233312303331.

133303213332 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 321 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133303213296 and 133303213305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303213339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125953 + ... + 531479.

It is an arithmetic number, because the mean of its divisors is an integer number (4895804368).

Almost surely, 2^133303213332 is an apocalyptic number.

133303213332 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 133303213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176248957248).

133303213332 is an abundant number, since it is smaller than the sum of its proper divisors (219194701164).

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

133303213332 is a wasteful number, since it uses less digits than its factorization.

133303213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405957 (or 405952 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133303213332 its reverse (233312303331), we get a palindrome (366615516663).

The spelling of 133303213332 in words is "one hundred thirty-three billion, three hundred three million, two hundred thirteen thousand, three hundred thirty-two".