13132100211201 has 48 divisors (see below), whose sum is σ = 19168649557200. Its totient is φ = 8662626238464.

The previous prime is 13132100211107. The next prime is 13132100211203. The reversal of 13132100211201 is 10211200123131.

13132100211201 is a `hidden beast` number, since 1 + 313 + 210 + 0 + 21 + 120 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1444070873025 + 11688029338176 = 1201695^2 + 3418776^2 .

It is not a de Polignac number, because 13132100211201 - 2¹³ = 13132100203009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132100211203) 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 47 ways as a sum of consecutive naturals, for example, 4031960365 + ... + 4031963621.

It is an arithmetic number, because the mean of its divisors is an integer number (399346865775).

Almost surely, 2^{13132100211201} is an apocalyptic number.

It is an amenable number.

13132100211201 is a deficient number, since it is larger than the sum of its proper divisors (6036549345999).

13132100211201 is a wasteful number, since it uses less digits than its factorization.

13132100211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7695 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13132100211201 its reverse (10211200123131), we get a palindrome (23343300334332).

The spelling of 13132100211201 in words is "thirteen trillion, one hundred thirty-two billion, one hundred million, two hundred eleven thousand, two hundred one".