131433211124224 has 80 divisors (see below), whose sum is σ = 266538747803328. Its totient is φ = 64733457457152.

The previous prime is 131433211124219. The next prime is 131433211124273. The reversal of 131433211124224 is 422421112334131.

It is a super-3 number, since 3×131433211124224³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131433211124224.

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 7 ways as a sum of consecutive naturals, for example, 1359179044 + ... + 1359275740.

Almost surely, 2^{131433211124224} 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 131433211124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133269373901664).

131433211124224 is an abundant number, since it is smaller than the sum of its proper divisors (135105536679104).

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

131433211124224 is an frugal number, since it uses more digits than its factorization.

131433211124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136405 (or 136389 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

Adding to 131433211124224 its reverse (422421112334131), we get a palindrome (553854323458355).

The spelling of 131433211124224 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, two hundred eleven million, one hundred twenty-four thousand, two hundred twenty-four".