133021423020024 has 768 divisors, whose sum is σ = 474312767385600. Its totient is φ = 34153891833600.

The previous prime is 133021423020019. The next prime is 133021423020043. The reversal of 133021423020024 is 420020324120331.

133021423020024 is a `hidden beast` number, since 1 + 3 + 30 + 2 + 1 + 423 + 0 + 200 + 2 + 4 = 666.

It is a super-3 number, since 3×133021423020024³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133021423020024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6847234999 + ... + 6847254425.

It is an arithmetic number, because the mean of its divisors is an integer number (617594749200).

Almost surely, 2^{133021423020024} is an apocalyptic number.

133021423020024 is a gapful number since it is divisible by the number (14) 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 133021423020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237156383692800).

133021423020024 is an abundant number, since it is smaller than the sum of its proper divisors (341291344365576).

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

133021423020024 is a wasteful number, since it uses less digits than its factorization.

133021423020024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20141 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 133021423020024 its reverse (420020324120331), we get a palindrome (553041747140355).

The spelling of 133021423020024 in words is "one hundred thirty-three trillion, twenty-one billion, four hundred twenty-three million, twenty thousand, twenty-four".