201313303213312 has 144 divisors (see below), whose sum is σ = 416324096778240. Its totient is φ = 97094969726976.

The previous prime is 201313303213261. The next prime is 201313303213349. The reversal of 201313303213312 is 213312303313102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534959173 + ... + 535335355.

It is an arithmetic number, because the mean of its divisors is an integer number (2891139560960).

Almost surely, 2^{201313303213312} 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 201313303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208162048389120).

201313303213312 is an abundant number, since it is smaller than the sum of its proper divisors (215010793564928).

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

201313303213312 is an equidigital number, since it uses as much as digits as its factorization.

201313303213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376888 (or 376874 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 201313303213312 its reverse (213312303313102), we get a palindrome (414625606526414).

The spelling of 201313303213312 in words is "two hundred one trillion, three hundred thirteen billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".