131331414401005 has 16 divisors (see below), whose sum is σ = 193966396654464. Its totient is φ = 83128455708480.

The previous prime is 131331414400969. The next prime is 131331414401017. The reversal of 131331414401005 is 500104414133131.

It is not a de Polignac number, because 131331414401005 - 2⁷ = 131331414400877 is a prime.

It is a super-3 number, since 3×131331414401005³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144320235151 + ... + 144320236060.

It is an arithmetic number, because the mean of its divisors is an integer number (12122899790904).

Almost surely, 2^{131331414401005} is an apocalyptic number.

It is an amenable number.

131331414401005 is a deficient number, since it is larger than the sum of its proper divisors (62634982253459).

131331414401005 is a wasteful number, since it uses less digits than its factorization.

131331414401005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288640471236.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 131331414401005 its reverse (500104414133131), we get a palindrome (631435828534136).

The spelling of 131331414401005 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred fourteen million, four hundred one thousand, five".