133113313032 has 128 divisors (see below), whose sum is σ = 394069017600. Its totient is φ = 36682184448.

The previous prime is 133113313019. The next prime is 133113313051. The reversal of 133113313032 is 230313311331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 133113312993 and 133113313011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398643 + ... + 652029.

It is an arithmetic number, because the mean of its divisors is an integer number (3078664200).

Almost surely, 2^133113313032 is an apocalyptic number.

133113313032 is a gapful number since it is divisible by the number (12) 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 133113313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197034508800).

133113313032 is an abundant number, since it is smaller than the sum of its proper divisors (260955704568).

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

133113313032 is a wasteful number, since it uses less digits than its factorization.

133113313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253515 (or 253511 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 133113313032 its reverse (230313311331), we get a palindrome (363426624363).

The spelling of 133113313032 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred thirteen thousand, thirty-two".