131414314311 has 24 divisors (see below), whose sum is σ = 229698971424. Its totient is φ = 70676605440.

The previous prime is 131414314301. The next prime is 131414314331. The reversal of 131414314311 is 113413414131.

131414314311 is a `hidden beast` number, since 1 + 31 + 4 + 1 + 4 + 314 + 311 = 666.

It is not a de Polignac number, because 131414314311 - 2¹⁸ = 131414052167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414314301) 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, 61350150 + ... + 61352291.

It is an arithmetic number, because the mean of its divisors is an integer number (9570790476).

Almost surely, 2^131414314311 is an apocalyptic number.

131414314311 is a deficient number, since it is larger than the sum of its proper divisors (98284657113).

131414314311 is a wasteful number, since it uses less digits than its factorization.

131414314311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122702471 (or 122702468 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 131414314311 its reverse (113413414131), we get a palindrome (244827728442).

The spelling of 131414314311 in words is "one hundred thirty-one billion, four hundred fourteen million, three hundred fourteen thousand, three hundred eleven".