201130131320130 has 256 divisors, whose sum is σ = 515168102592000. Its totient is φ = 50111691227136.

The previous prime is 201130131320099. The next prime is 201130131320137. The reversal of 201130131320130 is 31023131031102.

It is a happy number.

201130131320130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201130131320097 and 201130131320106.

It is not an unprimeable number, because it can be changed into a prime (201130131320137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12918620986 + ... + 12918636554.

It is an arithmetic number, because the mean of its divisors is an integer number (2012375400750).

Almost surely, 2^{201130131320130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130131320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257584051296000).

201130131320130 is an abundant number, since it is smaller than the sum of its proper divisors (314037971271870).

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

201130131320130 is a wasteful number, since it uses less digits than its factorization.

201130131320130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16661.

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

Adding to 201130131320130 its reverse (31023131031102), we get a palindrome (232153262351232).

The spelling of 201130131320130 in words is "two hundred one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirty".