201133232211340 has 192 divisors, whose sum is σ = 499590804464640. Its totient is φ = 67055114880000.

The previous prime is 201133232211323. The next prime is 201133232211409. The reversal of 201133232211340 is 43112232331102.

It is a junction number, because it is equal to n+sod(n) for n = 201133232211299 and 201133232211308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2875720770 + ... + 2875790710.

It is an arithmetic number, because the mean of its divisors is an integer number (2602035439920).

Almost surely, 2^{201133232211340} is an apocalyptic number.

201133232211340 is a gapful number since it is divisible by the number (20) 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 201133232211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249795402232320).

201133232211340 is an abundant number, since it is smaller than the sum of its proper divisors (298457572253300).

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

201133232211340 is a wasteful number, since it uses less digits than its factorization.

201133232211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76784 (or 76782 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 201133232211340 its reverse (43112232331102), we get a palindrome (244245464542442).

The spelling of 201133232211340 in words is "two hundred one trillion, one hundred thirty-three billion, two hundred thirty-two million, two hundred eleven thousand, three hundred forty".