133211320 has 96 divisors (see below), whose sum is σ = 349045200. Its totient is φ = 45562880.

The previous prime is 133211279. The next prime is 133211327. The reversal of 133211320 is 23112331.

It is a super-2 number, since 2×133211320² = 35490511552284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133211294 and 133211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81471 + ... + 83089.

Almost surely, 2^133211320 is an apocalyptic number.

133211320 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 133211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174522600).

133211320 is an abundant number, since it is smaller than the sum of its proper divisors (215833880).

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

133211320 is a wasteful number, since it uses less digits than its factorization.

133211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133211320 is about 11541.7208422315. The cubic root of 133211320 is about 510.7170740902.

Adding to 133211320 its reverse (23112331), we get a palindrome (156323651).

It can be divided in two parts, 13321 and 1320, that added together give a palindrome (14641).

The spelling of 133211320 in words is "one hundred thirty-three million, two hundred eleven thousand, three hundred twenty".