13131441312444 has 72 divisors (see below), whose sum is σ = 40853372982240. Its totient is φ = 3463237268352.

The previous prime is 13131441312397. The next prime is 13131441312463. The reversal of 13131441312444 is 44421314413131.

13131441312444 is a `hidden beast` number, since 1 + 31 + 314 + 41 + 31 + 244 + 4 = 666.

It is a super-2 number, since 2×13131441312444² (a number of 27 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13131441312399 and 13131441312408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2004184959 + ... + 2004191510.

Almost surely, 2^{13131441312444} is an apocalyptic number.

13131441312444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13131441312444 is an abundant number, since it is smaller than the sum of its proper divisors (27721931669796).

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

13131441312444 is a wasteful number, since it uses less digits than its factorization.

13131441312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008376499 (or 4008376494 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 13131441312444 its reverse (44421314413131), we get a palindrome (57552755725575).

The spelling of 13131441312444 in words is "thirteen trillion, one hundred thirty-one billion, four hundred forty-one million, three hundred twelve thousand, four hundred forty-four".