131242124311101 has 12 divisors (see below), whose sum is σ = 190844252355900. Its totient is φ = 86907536455680.

The previous prime is 131242124311099. The next prime is 131242124311141. The reversal of 131242124311101 is 101113421242131.

131242124311101 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 212 + 431 + 1 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47351271263076 + 83890853048025 = 6881226^2 + 9159195^2 .

It is not a de Polignac number, because 131242124311101 - 2¹ = 131242124311099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131242124311141) 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, 48934422340 + ... + 48934425021.

It is an arithmetic number, because the mean of its divisors is an integer number (15903687696325).

Almost surely, 2^{131242124311101} is an apocalyptic number.

It is an amenable number.

131242124311101 is a deficient number, since it is larger than the sum of its proper divisors (59602128044799).

131242124311101 is a wasteful number, since it uses less digits than its factorization.

131242124311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97868847516 (or 97868847513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131242124311101 its reverse (101113421242131), we get a palindrome (232355545553232).

The spelling of 131242124311101 in words is "one hundred thirty-one trillion, two hundred forty-two billion, one hundred twenty-four million, three hundred eleven thousand, one hundred one".