133023122320 has 160 divisors (see below), whose sum is σ = 342538076160. Its totient is φ = 47640337920.

The previous prime is 133023122279. The next prime is 133023122341. The reversal of 133023122320 is 23221320331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133023122291 and 133023122300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15530359 + ... + 15538921.

It is an arithmetic number, because the mean of its divisors is an integer number (2140862976).

Almost surely, 2^133023122320 is an apocalyptic number.

133023122320 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 133023122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171269038080).

133023122320 is an abundant number, since it is smaller than the sum of its proper divisors (209514953840).

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

133023122320 is a wasteful number, since it uses less digits than its factorization.

133023122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8853 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 133023122320 its reverse (23221320331), we get a palindrome (156244442651).

The spelling of 133023122320 in words is "one hundred thirty-three billion, twenty-three million, one hundred twenty-two thousand, three hundred twenty".