131414042024420 has 24 divisors (see below), whose sum is σ = 276051597731448. Its totient is φ = 52549976908800.

The previous prime is 131414042024411. The next prime is 131414042024423. The reversal of 131414042024420 is 24420240414131.

It can be written as a sum of positive squares in 4 ways, for example, as 60187463931364 + 71226578093056 = 7758058^2 + 8439584^2 .

It is a super-4 number, since 4×131414042024420⁴ (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (131414042024423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 977424911 + ... + 977559350.

It is an arithmetic number, because the mean of its divisors is an integer number (11502149905477).

Almost surely, 2^{131414042024420} is an apocalyptic number.

131414042024420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414042024420 is an abundant number, since it is smaller than the sum of its proper divisors (144637555707028).

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

131414042024420 is a wasteful number, since it uses less digits than its factorization.

131414042024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954987631 (or 1954987629 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 131414042024420 its reverse (24420240414131), we get a palindrome (155834282438551).

The spelling of 131414042024420 in words is "one hundred thirty-one trillion, four hundred fourteen billion, forty-two million, twenty-four thousand, four hundred twenty".