131441101444224 has 384 divisors, whose sum is σ = 445964886319680. Its totient is φ = 36633997025280.

The previous prime is 131441101444201. The next prime is 131441101444249. The reversal of 131441101444224 is 422444101144131.

131441101444224 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 411 + 0 + 14 + 4 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×131441101444224³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44191639 + ... + 47072105.

Almost surely, 2^{131441101444224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131441101444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222982443159840).

131441101444224 is an abundant number, since it is smaller than the sum of its proper divisors (314523784875456).

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

131441101444224 is a wasteful number, since it uses less digits than its factorization.

131441101444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880788 (or 2880773 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 131441101444224 its reverse (422444101144131), we get a palindrome (553885202588355).

The spelling of 131441101444224 in words is "one hundred thirty-one trillion, four hundred forty-one billion, one hundred one million, four hundred forty-four thousand, two hundred twenty-four".