131206135311356 has 72 divisors (see below), whose sum is σ = 268516699664976. Its totient is φ = 55932645242880.

The previous prime is 131206135311353. The next prime is 131206135311371. The reversal of 131206135311356 is 653113531602131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131206135311353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298886666 + ... + 299325326.

It is an arithmetic number, because the mean of its divisors is an integer number (3729398606458).

Almost surely, 2^{131206135311356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131206135311356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134258349832488).

131206135311356 is an abundant number, since it is smaller than the sum of its proper divisors (137310564353620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131206135311356 is a wasteful number, since it uses less digits than its factorization.

131206135311356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446779 (or 446770 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

Adding to 131206135311356 its reverse (653113531602131), we get a palindrome (784319666913487).

The spelling of 131206135311356 in words is "one hundred thirty-one trillion, two hundred six billion, one hundred thirty-five million, three hundred eleven thousand, three hundred fifty-six".