201132201313120 has 384 divisors, whose sum is σ = 596938108032000. Its totient is φ = 62213348229120.

The previous prime is 201132201313097. The next prime is 201132201313129. The reversal of 201132201313120 is 21313102231102.

It is a super-2 number, since 2×201132201313120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 201132201313091 and 201132201313100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201132201313129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5905735132 + ... + 5905769188.

It is an arithmetic number, because the mean of its divisors is an integer number (1554526323000).

Almost surely, 2^{201132201313120} is an apocalyptic number.

201132201313120 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 201132201313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298469054016000).

201132201313120 is an abundant number, since it is smaller than the sum of its proper divisors (395805906718880).

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

201132201313120 is a wasteful number, since it uses less digits than its factorization.

201132201313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37726 (or 37718 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 201132201313120 its reverse (21313102231102), we get a palindrome (222445303544222).

The spelling of 201132201313120 in words is "two hundred one trillion, one hundred thirty-two billion, two hundred one million, three hundred thirteen thousand, one hundred twenty".