133023216444360 has 384 divisors, whose sum is σ = 444281967360000. Its totient is φ = 31833923996160.

The previous prime is 133023216444359. The next prime is 133023216444379. The reversal of 133023216444360 is 63444612320331.

It is a super-2 number, since 2×133023216444360² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 11584355179 + ... + 11584366661.

It is an arithmetic number, because the mean of its divisors is an integer number (1156984290000).

Almost surely, 2^{133023216444360} is an apocalyptic number.

133023216444360 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 133023216444360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222140983680000).

133023216444360 is an abundant number, since it is smaller than the sum of its proper divisors (311258750915640).

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

133023216444360 is a wasteful number, since it uses less digits than its factorization.

133023216444360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21697 (or 21682 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

Adding to 133023216444360 its reverse (63444612320331), we get a palindrome (196467828764691).

The spelling of 133023216444360 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred sixteen million, four hundred forty-four thousand, three hundred sixty".