131414402420 has 72 divisors (see below), whose sum is σ = 321116077800. Its totient is φ = 45043810560.

The previous prime is 131414402417. The next prime is 131414402429. The reversal of 131414402420 is 24204414131.

It can be written as a sum of positive squares in 4 ways, for example, as 16524588304 + 114889814116 = 128548^2 + 338954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131414402420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414402429) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3923906 + ... + 3957254.

It is an arithmetic number, because the mean of its divisors is an integer number (4459945525).

Almost surely, 2^131414402420 is an apocalyptic number.

131414402420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414402420 is an abundant number, since it is smaller than the sum of its proper divisors (189701675380).

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

131414402420 is a wasteful number, since it uses less digits than its factorization.

131414402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37393 (or 37384 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 131414402420 its reverse (24204414131), we get a palindrome (155618816551).

The spelling of 131414402420 in words is "one hundred thirty-one billion, four hundred fourteen million, four hundred two thousand, four hundred twenty".