201313103112 has 384 divisors, whose sum is σ = 628363008000. Its totient is φ = 59872400640.

The previous prime is 201313103107. The next prime is 201313103113. The reversal of 201313103112 is 211301313102.

201313103112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201313103113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454431163 + ... + 454431605.

It is an arithmetic number, because the mean of its divisors is an integer number (1636362000).

Almost surely, 2^201313103112 is an apocalyptic number.

201313103112 is a gapful number since it is divisible by the number (22) 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 201313103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314181504000).

201313103112 is an abundant number, since it is smaller than the sum of its proper divisors (427049904888).

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

201313103112 is a wasteful number, since it uses less digits than its factorization.

201313103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201313103112 its reverse (211301313102), we get a palindrome (412614416214).

The spelling of 201313103112 in words is "two hundred one billion, three hundred thirteen million, one hundred three thousand, one hundred twelve".