133002332231220 has 84 divisors (see below), whose sum is σ = 418765779429060. Its totient is φ = 35467288591104.

The previous prime is 133002332231173. The next prime is 133002332231281. The reversal of 133002332231220 is 22132233200331.

133002332231220 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 2 + 3 + 322 + 312 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26497826940816 + 106504505290404 = 5147604^2 + 10320102^2 .

It is a super-3 number, since 3×133002332231220³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4561107925 + ... + 4561137084.

It is an arithmetic number, because the mean of its divisors is an integer number (4985306897965).

Almost surely, 2^{133002332231220} is an apocalyptic number.

133002332231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133002332231220 is an abundant number, since it is smaller than the sum of its proper divisors (285763447197840).

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

133002332231220 is an equidigital number, since it uses as much as digits as its factorization.

133002332231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122245036 (or 9122245019 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133002332231220 its reverse (22132233200331), we get a palindrome (155134565431551).

The spelling of 133002332231220 in words is "one hundred thirty-three trillion, two billion, three hundred thirty-two million, two hundred thirty-one thousand, two hundred twenty".