133313211122120 has 32 divisors (see below), whose sum is σ = 299957497142400. Its totient is φ = 53324791627968.

The previous prime is 133313211122057. The next prime is 133313211122153. The reversal of 133313211122120 is 21221112313331.

133313211122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133313211122120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11002880 + ... + 19689839.

It is an arithmetic number, because the mean of its divisors is an integer number (9373671785700).

Almost surely, 2^{133313211122120} is an apocalyptic number.

133313211122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133313211122120 is an abundant number, since it is smaller than the sum of its proper divisors (166644286020280).

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

133313211122120 is a wasteful number, since it uses less digits than its factorization.

133313211122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30801317 (or 30801313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 133313211122120 its reverse (21221112313331), we get a palindrome (154534323435451).

The spelling of 133313211122120 in words is "one hundred thirty-three trillion, three hundred thirteen billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".