201101310320 has 40 divisors (see below), whose sum is σ = 467772810624. Its totient is φ = 80404005632.

The previous prime is 201101310317. The next prime is 201101310323. The reversal of 201101310320 is 23013101102.

201101310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201101310317) and next prime (201101310323).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 201101310295 and 201101310304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101310323) 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 7 ways as a sum of consecutive naturals, for example, 392939 + ... + 746058.

Almost surely, 2^201101310320 is an apocalyptic number.

201101310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101310320 is an abundant number, since it is smaller than the sum of its proper divisors (266671500304).

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

201101310320 is a wasteful number, since it uses less digits than its factorization.

201101310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141217 (or 1141211 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201101310320 its reverse (23013101102), we get a palindrome (224114411422).

The spelling of 201101310320 in words is "two hundred one billion, one hundred one million, three hundred ten thousand, three hundred twenty".