131233102224 has 240 divisors, whose sum is σ = 398624004288. Its totient is φ = 37092916224.

The previous prime is 131233102181. The next prime is 131233102279. The reversal of 131233102224 is 422201332131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131233102194 and 131233102203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102285487 + ... + 102286769.

Almost surely, 2^131233102224 is an apocalyptic number.

131233102224 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 131233102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199312002144).

131233102224 is an abundant number, since it is smaller than the sum of its proper divisors (267390902064).

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

131233102224 is a wasteful number, since it uses less digits than its factorization.

131233102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131233102224 its reverse (422201332131), we get a palindrome (553434434355).

The spelling of 131233102224 in words is "one hundred thirty-one billion, two hundred thirty-three million, one hundred two thousand, two hundred twenty-four".