133113113322 has 64 divisors (see below), whose sum is σ = 312450048000. Its totient is φ = 37021944960.

The previous prime is 133113113291. The next prime is 133113113323. The reversal of 133113113322 is 223311311331.

133113113322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133113113322² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133113113292 and 133113113301.

It is not an unprimeable number, because it can be changed into a prime (133113113323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46947 + ... + 518102.

It is an arithmetic number, because the mean of its divisors is an integer number (4882032000).

Almost surely, 2^133113113322 is an apocalyptic number.

133113113322 is an abundant number, since it is smaller than the sum of its proper divisors (179336934678).

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

133113113322 is a wasteful number, since it uses less digits than its factorization.

133113113322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565211.

The product of its digits is 972, while the sum is 24.

Adding to 133113113322 its reverse (223311311331), we get a palindrome (356424424653).

The spelling of 133113113322 in words is "one hundred thirty-three billion, one hundred thirteen million, one hundred thirteen thousand, three hundred twenty-two".