201312013320 has 192 divisors, whose sum is σ = 713960619840. Its totient is φ = 48788006400.

The previous prime is 201312013319. The next prime is 201312013321. The reversal of 201312013320 is 23310213102.

201312013320 is a `hidden beast` number, since 2 + 0 + 131 + 201 + 332 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201312013319) and next prime (201312013321).

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

It is a junction number, because it is equal to n+sod(n) for n = 201312013293 and 201312013302.

It is not an unprimeable number, because it can be changed into a prime (201312013321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18570942 + ... + 18581778.

It is an arithmetic number, because the mean of its divisors is an integer number (3718544895).

Almost surely, 2^201312013320 is an apocalyptic number.

201312013320 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 201312013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356980309920).

201312013320 is an abundant number, since it is smaller than the sum of its proper divisors (512648606520).

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

201312013320 is a wasteful number, since it uses less digits than its factorization.

201312013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15556 (or 15549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201312013320 its reverse (23310213102), we get a palindrome (224622226422).

The spelling of 201312013320 in words is "two hundred one billion, three hundred twelve million, thirteen thousand, three hundred twenty".