131414415405 has 144 divisors (see below), whose sum is σ = 275367456000. Its totient is φ = 53040911616.

The previous prime is 131414415397. The next prime is 131414415413. The reversal of 131414415405 is 504514414131.

It is an interprime number because it is at equal distance from previous prime (131414415397) and next prime (131414415413).

It is not a de Polignac number, because 131414415405 - 2³ = 131414415397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5041596 + ... + 5067594.

It is an arithmetic number, because the mean of its divisors is an integer number (1912274000).

Almost surely, 2^131414415405 is an apocalyptic number.

131414415405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131414415405 is an abundant number, since it is smaller than the sum of its proper divisors (143953040595).

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

131414415405 is a wasteful number, since it uses less digits than its factorization.

131414415405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080 (or 26050 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 131414415405 its reverse (504514414131), we get a palindrome (635928829536).

The spelling of 131414415405 in words is "one hundred thirty-one billion, four hundred fourteen million, four hundred fifteen thousand, four hundred five".