201200133113130 has 128 divisors (see below), whose sum is σ = 503433921392640. Its totient is φ = 51413823394560.

The previous prime is 201200133113039. The next prime is 201200133113137. The reversal of 201200133113130 is 31311331002102.

It is a happy number.

It is a super-2 number, since 2×201200133113130² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201200133113097 and 201200133113106.

It is not an unprimeable number, because it can be changed into a prime (201200133113137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374481985 + ... + 375018875.

It is an arithmetic number, because the mean of its divisors is an integer number (3933077510880).

Almost surely, 2^{201200133113130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201200133113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251716960696320).

201200133113130 is an abundant number, since it is smaller than the sum of its proper divisors (302233788279510).

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

201200133113130 is a wasteful number, since it uses less digits than its factorization.

201200133113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542044.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 201200133113130 its reverse (31311331002102), we get a palindrome (232511464115232).

The spelling of 201200133113130 in words is "two hundred one trillion, two hundred billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred thirty".