201313323222000 has 640 divisors, whose sum is σ = 720164365959168. Its totient is φ = 47970502272000.

The previous prime is 201313323221971. The next prime is 201313323222019. The reversal of 201313323222000 is 222323313102.

It is a super-2 number, since 2×201313323222000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2047336837 + ... + 2047435163.

Almost surely, 2^{201313323222000} is an apocalyptic number.

201313323222000 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 201313323222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360082182979584).

201313323222000 is an abundant number, since it is smaller than the sum of its proper divisors (518851042737168).

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

201313323222000 is a wasteful number, since it uses less digits than its factorization.

201313323222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98894 (or 98878 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 201313323222000 its reverse (222323313102), we get a palindrome (201535646535102).

The spelling of 201313323222000 in words is "two hundred one trillion, three hundred thirteen billion, three hundred twenty-three million, two hundred twenty-two thousand".