133320124420340 has 288 divisors, whose sum is σ = 350228444557824. Its totient is φ = 42112603054080.

The previous prime is 133320124420337. The next prime is 133320124420349. The reversal of 133320124420340 is 43024421023331.

It is a junction number, because it is equal to n+sod(n) for n = 133320124420297 and 133320124420306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133320124420349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8726844782 + ... + 8726860058.

It is an arithmetic number, because the mean of its divisors is an integer number (1216070988048).

Almost surely, 2^{133320124420340} is an apocalyptic number.

133320124420340 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 133320124420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175114222278912).

133320124420340 is an abundant number, since it is smaller than the sum of its proper divisors (216908320137484).

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

133320124420340 is a wasteful number, since it uses less digits than its factorization.

133320124420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29147 (or 29132 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 133320124420340 its reverse (43024421023331), we get a palindrome (176344545443671).

The spelling of 133320124420340 in words is "one hundred thirty-three trillion, three hundred twenty billion, one hundred twenty-four million, four hundred twenty thousand, three hundred forty".