131111415405 has 12 divisors (see below), whose sum is σ = 227259786780. Its totient is φ = 69926088192.

The previous prime is 131111415403. The next prime is 131111415437. The reversal of 131111415405 is 504514111131.

It is a happy number.

131111415405 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 114 + 1 + 540 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33315740676 + 97795674729 = 182526^2 + 312723^2 .

It is not a de Polignac number, because 131111415405 - 2¹ = 131111415403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111415403) 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, 1456793460 + ... + 1456793549.

It is an arithmetic number, because the mean of its divisors is an integer number (18938315565).

Almost surely, 2^131111415405 is an apocalyptic number.

131111415405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131111415405 is a deficient number, since it is larger than the sum of its proper divisors (96148371375).

131111415405 is a wasteful number, since it uses less digits than its factorization.

131111415405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913587020 (or 2913587017 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 131111415405 its reverse (504514111131), we get a palindrome (635625526536).

The spelling of 131111415405 in words is "one hundred thirty-one billion, one hundred eleven million, four hundred fifteen thousand, four hundred five".