133303413321 has 48 divisors (see below), whose sum is σ = 209849172624. Its totient is φ = 81051328512.

The previous prime is 133303413289. The next prime is 133303413361. The reversal of 133303413321 is 123314303331.

133303413321 is a `hidden beast` number, since 1 + 3 + 330 + 3 + 4 + 1 + 3 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79820375625 + 53483037696 = 282525^2 + 231264^2 .

It is not a de Polignac number, because 133303413321 - 2⁵ = 133303413289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133303413361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6992815 + ... + 7011851.

It is an arithmetic number, because the mean of its divisors is an integer number (4371857763).

Almost surely, 2^133303413321 is an apocalyptic number.

It is an amenable number.

133303413321 is a deficient number, since it is larger than the sum of its proper divisors (76545759303).

133303413321 is a wasteful number, since it uses less digits than its factorization.

133303413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 19767 counting only the distinct ones).

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

Adding to 133303413321 its reverse (123314303331), we get a palindrome (256617716652).

The spelling of 133303413321 in words is "one hundred thirty-three billion, three hundred three million, four hundred thirteen thousand, three hundred twenty-one".