132101213301 has 24 divisors (see below), whose sum is σ = 191680496280. Its totient is φ = 87667224576.

The previous prime is 132101213281. The next prime is 132101213323. The reversal of 132101213301 is 103312101231.

132101213301 is a `hidden beast` number, since 1 + 3 + 210 + 121 + 330 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24303251025 + 107797962276 = 155895^2 + 328326^2 .

It is not a de Polignac number, because 132101213301 - 2¹³ = 132101205109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132101213401) 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 23 ways as a sum of consecutive naturals, for example, 14626255 + ... + 14635283.

It is an arithmetic number, because the mean of its divisors is an integer number (7986687345).

Almost surely, 2^132101213301 is an apocalyptic number.

It is an amenable number.

132101213301 is a deficient number, since it is larger than the sum of its proper divisors (59579282979).

132101213301 is a wasteful number, since it uses less digits than its factorization.

132101213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16245 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132101213301 its reverse (103312101231), we get a palindrome (235413314532).

The spelling of 132101213301 in words is "one hundred thirty-two billion, one hundred one million, two hundred thirteen thousand, three hundred one".