131221132101 has 12 divisors (see below), whose sum is σ = 193117893228. Its totient is φ = 85830174144.

The previous prime is 131221132079. The next prime is 131221132103. The reversal of 131221132101 is 101231122131.

131221132101 is a `hidden beast` number, since 131 + 2 + 211 + 321 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38592209601 + 92628922500 = 196449^2 + 304350^2 .

It is not a de Polignac number, because 131221132101 - 2¹⁹ = 131220607813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221132103) 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 11 ways as a sum of consecutive naturals, for example, 137547880 + ... + 137548833.

It is an arithmetic number, because the mean of its divisors is an integer number (16093157769).

Almost surely, 2^131221132101 is an apocalyptic number.

It is an amenable number.

131221132101 is a deficient number, since it is larger than the sum of its proper divisors (61896761127).

131221132101 is a wasteful number, since it uses less digits than its factorization.

131221132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275096772 (or 275096769 counting only the distinct ones).

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

Adding to 131221132101 its reverse (101231122131), we get a palindrome (232452254232).

The spelling of 131221132101 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred one".