131142132103311 has 24 divisors (see below), whose sum is σ = 216489267730944. Its totient is φ = 74938129727760.

The previous prime is 131142132103289. The next prime is 131142132103313. The reversal of 131142132103311 is 113301231241131.

131142132103311 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 2 + 1 + 321 + 0 + 331 + 1 = 666.

It is not a de Polignac number, because 131142132103311 - 2¹⁰ = 131142132102287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142132103313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18497446 + ... + 24585356.

It is an arithmetic number, because the mean of its divisors is an integer number (9020386155456).

Almost surely, 2^{131142132103311} is an apocalyptic number.

131142132103311 is a deficient number, since it is larger than the sum of its proper divisors (85347135627633).

131142132103311 is a wasteful number, since it uses less digits than its factorization.

131142132103311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429851 (or 6429848 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131142132103311 its reverse (113301231241131), we get a palindrome (244443363344442).

It can be divided in two parts, 131142 and 132103311, that added together give a triangular number (132234453 = T₁₆₂₆₂).

The spelling of 131142132103311 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty-two million, one hundred three thousand, three hundred eleven".