201210133120 has 64 divisors (see below), whose sum is σ = 482565133440. Its totient is φ = 80225182720.

The previous prime is 201210133109. The next prime is 201210133129. The reversal of 201210133120 is 21331012102.

201210133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201210133094 and 201210133103.

It is not an unprimeable number, because it can be changed into a prime (201210133129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306412 + ... + 704491.

It is an arithmetic number, because the mean of its divisors is an integer number (7540080210).

Almost surely, 2^201210133120 is an apocalyptic number.

201210133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210133120 is an abundant number, since it is smaller than the sum of its proper divisors (281355000320).

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

201210133120 is a wasteful number, since it uses less digits than its factorization.

201210133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011233 (or 1011221 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201210133120 its reverse (21331012102), we get a palindrome (222541145222).

The spelling of 201210133120 in words is "two hundred one billion, two hundred ten million, one hundred thirty-three thousand, one hundred twenty".