201020131312 has 320 divisors, whose sum is σ = 540883381248. Its totient is φ = 69848064000.

The previous prime is 201020131283. The next prime is 201020131349. The reversal of 201020131312 is 213131020102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70260762 + ... + 70263622.

Almost surely, 2^201020131312 is an apocalyptic number.

201020131312 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 201020131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270441690624).

201020131312 is an abundant number, since it is smaller than the sum of its proper divisors (339863249936).

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

201020131312 is a wasteful number, since it uses less digits than its factorization.

201020131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201020131312 its reverse (213131020102), we get a palindrome (414151151414).

The spelling of 201020131312 in words is "two hundred one billion, twenty million, one hundred thirty-one thousand, three hundred twelve".