131221241214024 has 256 divisors, whose sum is σ = 364053350707200. Its totient is φ = 39166734200832.

The previous prime is 131221241213987. The next prime is 131221241214029. The reversal of 131221241214024 is 420412142122131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131221241213982 and 131221241214000.

It is not an unprimeable number, because it can be changed into a prime (131221241214029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472044657 + ... + 472322559.

It is an arithmetic number, because the mean of its divisors is an integer number (1422083401200).

Almost surely, 2^{131221241214024} 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 131221241214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182026675353600).

131221241214024 is an abundant number, since it is smaller than the sum of its proper divisors (232832109493176).

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

131221241214024 is a wasteful number, since it uses less digits than its factorization.

131221241214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278324 (or 278320 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 131221241214024 its reverse (420412142122131), we get a palindrome (551633383336155).

The spelling of 131221241214024 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred forty-one million, two hundred fourteen thousand, twenty-four".