131010024 has 96 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 39249408.

The previous prime is 131010013. The next prime is 131010037. The reversal of 131010024 is 420010131.

It is a happy number.

131010024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131009991 and 131010009.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215529 + ... + 216135.

It is an arithmetic number, because the mean of its divisors is an integer number (3782520).

Almost surely, 2^131010024 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 131010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

131010024 is an abundant number, since it is smaller than the sum of its proper divisors (232111896).

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

131010024 is a wasteful number, since it uses less digits than its factorization.

131010024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131010024 is about 11445.9610343562. The cubic root of 131010024 is about 507.8882615340. Note that the first 3 decimals are identical.

Adding to 131010024 its reverse (420010131), we get a palindrome (551020155).

The spelling of 131010024 in words is "one hundred thirty-one million, ten thousand, twenty-four".