131012144224344 has 96 divisors (see below), whose sum is σ = 359107219860480. Its totient is φ = 43143640281792.

The previous prime is 131012144224319. The next prime is 131012144224349. The reversal of 131012144224344 is 443422441210131.

131012144224344 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 214 + 4 + 2 + 2 + 434 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131012144224299 and 131012144224308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012144224349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315223537 + ... + 315638879.

It is an arithmetic number, because the mean of its divisors is an integer number (3740700206880).

Almost surely, 2^{131012144224344} is an apocalyptic number.

It is an amenable number.

131012144224344 is an abundant number, since it is smaller than the sum of its proper divisors (228095075636136).

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

131012144224344 is a wasteful number, since it uses less digits than its factorization.

131012144224344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468221 (or 468214 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131012144224344 its reverse (443422441210131), we get a palindrome (574434585434475).

The spelling of 131012144224344 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-four million, two hundred twenty-four thousand, three hundred forty-four".