131414241024 has 576 divisors, whose sum is σ = 451711572480. Its totient is φ = 37244436480.

The previous prime is 131414241011. The next prime is 131414241029. The reversal of 131414241024 is 420142414131.

131414241024 is a `hidden beast` number, since 1 + 3 + 1 + 414 + 241 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414241029) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 378715219 + ... + 378715565.

It is an arithmetic number, because the mean of its divisors is an integer number (784221480).

Almost surely, 2^131414241024 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 131414241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225855786240).

131414241024 is an abundant number, since it is smaller than the sum of its proper divisors (320297331456).

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

131414241024 is a wasteful number, since it uses less digits than its factorization.

131414241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131414241024 its reverse (420142414131), we get a palindrome (551556655155).

The spelling of 131414241024 in words is "one hundred thirty-one billion, four hundred fourteen million, two hundred forty-one thousand, twenty-four".