133023100320 has 288 divisors, whose sum is σ = 498256484544. Its totient is φ = 32049561600.

The previous prime is 133023100297. The next prime is 133023100391. The reversal of 133023100320 is 23001320331.

133023100320 is a `hidden beast` number, since 1 + 3 + 30 + 2 + 310 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 133023100293 and 133023100302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2556160 + ... + 2607680.

It is an arithmetic number, because the mean of its divisors is an integer number (1730057238).

Almost surely, 2^133023100320 is an apocalyptic number.

133023100320 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 133023100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249128242272).

133023100320 is an abundant number, since it is smaller than the sum of its proper divisors (365233384224).

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

133023100320 is a wasteful number, since it uses less digits than its factorization.

133023100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51716 (or 51705 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133023100320 its reverse (23001320331), we get a palindrome (156024420651).

The spelling of 133023100320 in words is "one hundred thirty-three billion, twenty-three million, one hundred thousand, three hundred twenty".