201313633431312 has 240 divisors, whose sum is σ = 619539623801280. Its totient is φ = 63064733884416.

The previous prime is 201313633431271. The next prime is 201313633431319. The reversal of 201313633431312 is 213134336313102.

201313633431312 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 3 + 6 + 334 + 3 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201313633431319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42913864 + ... + 47373272.

It is an arithmetic number, because the mean of its divisors is an integer number (2581415099172).

Almost surely, 2^{201313633431312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201313633431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309769811900640).

201313633431312 is an abundant number, since it is smaller than the sum of its proper divisors (418225990369968).

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

201313633431312 is a wasteful number, since it uses less digits than its factorization.

201313633431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460132 (or 4460114 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 201313633431312 its reverse (213134336313102), we get a palindrome (414447969744414).

The spelling of 201313633431312 in words is "two hundred one trillion, three hundred thirteen billion, six hundred thirty-three million, four hundred thirty-one thousand, three hundred twelve".