131413330414044 has 288 divisors, whose sum is σ = 390445157112192. Its totient is φ = 36480761856000.

The previous prime is 131413330414033. The next prime is 131413330414099. The reversal of 131413330414044 is 440414033314131.

131413330414044 is a `hidden beast` number, since 1 + 3 + 141 + 3 + 330 + 4 + 140 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29326784284 + ... + 29326788764.

It is an arithmetic number, because the mean of its divisors is an integer number (1355712351084).

Almost surely, 2^{131413330414044} is an apocalyptic number.

131413330414044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413330414044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195222578556096).

131413330414044 is an abundant number, since it is smaller than the sum of its proper divisors (259031826698148).

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

131413330414044 is a wasteful number, since it uses less digits than its factorization.

131413330414044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131413330414044 its reverse (440414033314131), we get a palindrome (571827363728175).

The spelling of 131413330414044 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, four hundred fourteen thousand, forty-four".