131416405119 has 48 divisors (see below), whose sum is σ = 201211920000. Its totient is φ = 82420670016.

The previous prime is 131416405091. The next prime is 131416405139. The reversal of 131416405119 is 911504614131.

It is a happy number.

131416405119 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 640 + 5 + 1 + 1 + 9 = 666.

It is not a de Polignac number, because 131416405119 - 2⁹ = 131416404607 is a prime.

It is a super-2 number, since 2×131416405119² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131416405139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25372272 + ... + 25377450.

It is an arithmetic number, because the mean of its divisors is an integer number (4191915000).

Almost surely, 2^131416405119 is an apocalyptic number.

131416405119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131416405119 is a deficient number, since it is larger than the sum of its proper divisors (69795514881).

131416405119 is a wasteful number, since it uses less digits than its factorization.

131416405119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 131416405119 in words is "one hundred thirty-one billion, four hundred sixteen million, four hundred five thousand, one hundred nineteen".