133113331320 has 256 divisors, whose sum is σ = 428090158080. Its totient is φ = 32995123200.

The previous prime is 133113331301. The next prime is 133113331331. The reversal of 133113331320 is 23133311331.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 113674335 + ... + 113675505.

It is an arithmetic number, because the mean of its divisors is an integer number (1672227180).

Almost surely, 2^133113331320 is an apocalyptic number.

133113331320 is a gapful number since it is divisible by the number (10) 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 133113331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214045079040).

133113331320 is an abundant number, since it is smaller than the sum of its proper divisors (294976826760).

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

133113331320 is a wasteful number, since it uses less digits than its factorization.

133113331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1842 counting only the distinct ones).

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

Adding to 133113331320 its reverse (23133311331), we get a palindrome (156246642651).

The spelling of 133113331320 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred twenty".