133113024 has 224 divisors, whose sum is σ = 438912000. Its totient is φ = 39214080.

The previous prime is 133113023. The next prime is 133113049. The reversal of 133113024 is 420311331.

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 = 133112988 and 133113006.

It is not an unprimeable number, because it can be changed into a prime (133113023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893302 + ... + 893450.

Almost surely, 2^133113024 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 133113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456000).

133113024 is an abundant number, since it is smaller than the sum of its proper divisors (305798976).

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

133113024 is a wasteful number, since it uses less digits than its factorization.

133113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133113024 is about 11537.4617659171. The cubic root of 133113024 is about 510.5914246124.

Adding to 133113024 its reverse (420311331), we get a palindrome (553424355).

The spelling of 133113024 in words is "one hundred thirty-three million, one hundred thirteen thousand, twenty-four".