133311023322320 has 80 divisors (see below), whose sum is σ = 311877322323840. Its totient is φ = 52992777226752.

The previous prime is 133311023322313. The next prime is 133311023322359. The reversal of 133311023322320 is 23223320113331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133311023322320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29250821 + ... + 33499739.

It is an arithmetic number, because the mean of its divisors is an integer number (3898466529048).

Almost surely, 2^{133311023322320} is an apocalyptic number.

133311023322320 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 133311023322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155938661161920).

133311023322320 is an abundant number, since it is smaller than the sum of its proper divisors (178566299001520).

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

133311023322320 is a wasteful number, since it uses less digits than its factorization.

133311023322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251372 (or 4251366 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 133311023322320 its reverse (23223320113331), we get a palindrome (156534343435651).

The spelling of 133311023322320 in words is "one hundred thirty-three trillion, three hundred eleven billion, twenty-three million, three hundred twenty-two thousand, three hundred twenty".