201233312313000 has 512 divisors, whose sum is σ = 696671808768000. Its totient is φ = 47947495680000.

The previous prime is 201233312312971. The next prime is 201233312313023. The reversal of 201233312313000 is 313213332102.

It is a super-2 number, since 2×201233312313000² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17700171316 + ... + 17700182684.

It is an arithmetic number, because the mean of its divisors is an integer number (1360687126500).

Almost surely, 2^{201233312313000} is an apocalyptic number.

201233312313000 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 201233312313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348335904384000).

201233312313000 is an abundant number, since it is smaller than the sum of its proper divisors (495438496455000).

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

201233312313000 is a wasteful number, since it uses less digits than its factorization.

201233312313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20554 (or 20540 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 201233312313000 its reverse (313213332102), we get a palindrome (201546525645102).

The spelling of 201233312313000 in words is "two hundred one trillion, two hundred thirty-three billion, three hundred twelve million, three hundred thirteen thousand".