131413111413342 has 64 divisors (see below), whose sum is σ = 290354637173760. Its totient is φ = 39317297011200.

The previous prime is 131413111413323. The next prime is 131413111413401. The reversal of 131413111413342 is 243314111314131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296314242 + ... + 296757402.

It is an arithmetic number, because the mean of its divisors is an integer number (4536791205840).

Almost surely, 2^{131413111413342} is an apocalyptic number.

131413111413342 is an abundant number, since it is smaller than the sum of its proper divisors (158941525760418).

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

131413111413342 is a wasteful number, since it uses less digits than its factorization.

131413111413342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500129.

The product of its digits is 10368, while the sum is 33.

Adding to 131413111413342 its reverse (243314111314131), we get a palindrome (374727222727473).

The spelling of 131413111413342 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred thirteen thousand, three hundred forty-two".