201130131320129 has 12 divisors (see below), whose sum is σ = 221131200389988. Its totient is φ = 182800681367040.

The previous prime is 201130131320099. The next prime is 201130131320137. The reversal of 201130131320129 is 921023131031102.

201130131320129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122348530510129 + 78781600810000 = 11061127^2 + 8875900^2 .

It is not a de Polignac number, because 201130131320129 - 2¹² = 201130131316033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201130131322129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203562224 + ... + 204547889.

It is an arithmetic number, because the mean of its divisors is an integer number (18427600032499).

Almost surely, 2^{201130131320129} is an apocalyptic number.

It is an amenable number.

201130131320129 is a deficient number, since it is larger than the sum of its proper divisors (20001069069859).

201130131320129 is a wasteful number, since it uses less digits than its factorization.

201130131320129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408114208 (or 408114197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 201130131320129 in words is "two hundred one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred twenty thousand, one hundred twenty-nine".