201131424 has 240 divisors, whose sum is σ = 655699968. Its totient is φ = 60092928.

The previous prime is 201131423. The next prime is 201131453. The reversal of 201131424 is 424131102.

201131424 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 201131397 and 201131406.

It is not an unprimeable number, because it can be changed into a prime (201131423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1583649 + ... + 1583775.

Almost surely, 2^201131424 is an apocalyptic number.

201131424 is a gapful number since it is divisible by the number (24) 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 201131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327849984).

201131424 is an abundant number, since it is smaller than the sum of its proper divisors (454568544).

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

201131424 is a wasteful number, since it uses less digits than its factorization.

201131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201131424 is about 14182.0810884722. The cubic root of 201131424 is about 585.9042426052.

Adding to 201131424 its reverse (424131102), we get a palindrome (625262526).

The spelling of 201131424 in words is "two hundred one million, one hundred thirty-one thousand, four hundred twenty-four".