20131542324 has 108 divisors (see below), whose sum is σ = 54945485868. Its totient is φ = 6212044800.

The previous prime is 20131542323. The next prime is 20131542331. The reversal of 20131542324 is 42324513102.

20131542324 is a `hidden beast` number, since 20 + 1 + 315 + 4 + 2 + 324 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1942164900 + 18189377424 = 44070^2 + 134868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131542323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 618784 + ... + 650504.

Almost surely, 2^20131542324 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 20131542324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472742934).

20131542324 is an abundant number, since it is smaller than the sum of its proper divisors (34813943544).

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

20131542324 is a wasteful number, since it uses less digits than its factorization.

20131542324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31826 (or 31804 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20131542324 in words is "twenty billion, one hundred thirty-one million, five hundred forty-two thousand, three hundred twenty-four".