131311312102133 has 8 divisors (see below), whose sum is σ = 132539286078720. Its totient is φ = 130083352300800.

The previous prime is 131311312102051. The next prime is 131311312102199. The reversal of 131311312102133 is 331201213113131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131311312102133 - 2⁸ = 131311312101877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311312105133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15548348 + ... + 22458266.

It is an arithmetic number, because the mean of its divisors is an integer number (16567410759840).

Almost surely, 2^{131311312102133} is an apocalyptic number.

It is an amenable number.

131311312102133 is a deficient number, since it is larger than the sum of its proper divisors (1227973976587).

131311312102133 is a wasteful number, since it uses less digits than its factorization.

131311312102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087627.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 131311312102133 its reverse (331201213113131), we get a palindrome (462512525215264).

The spelling of 131311312102133 in words is "one hundred thirty-one trillion, three hundred eleven billion, three hundred twelve million, one hundred two thousand, one hundred thirty-three".