133223022322340 has 96 divisors (see below), whose sum is σ = 290600911681920. Its totient is φ = 51241274814464.

The previous prime is 133223022322333. The next prime is 133223022322361. The reversal of 133223022322340 is 43223220322331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133223022322297 and 133223022322306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166041812 + ... + 166842228.

It is an arithmetic number, because the mean of its divisors is an integer number (3027092830020).

Almost surely, 2^{133223022322340} is an apocalyptic number.

133223022322340 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 133223022322340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145300455840960).

133223022322340 is an abundant number, since it is smaller than the sum of its proper divisors (157377889359580).

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

133223022322340 is a wasteful number, since it uses less digits than its factorization.

133223022322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801629 (or 801627 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 133223022322340 its reverse (43223220322331), we get a palindrome (176446242644671).

The spelling of 133223022322340 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, twenty-two million, three hundred twenty-two thousand, three hundred forty".