201310213120 has 88 divisors (see below), whose sum is σ = 483524310024. Its totient is φ = 80421421056.

The previous prime is 201310213073. The next prime is 201310213129. The reversal of 201310213120 is 21312013102.

It can be written as a sum of positive squares in 4 ways, for example, as 78686982144 + 122623230976 = 280512^2 + 350176^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201310213094 and 201310213103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201310213129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4055974 + ... + 4105306.

Almost surely, 2^201310213120 is an apocalyptic number.

201310213120 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 201310213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241762155012).

201310213120 is an abundant number, since it is smaller than the sum of its proper divisors (282214096904).

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

201310213120 is an equidigital number, since it uses as much as digits as its factorization.

201310213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50155 (or 50137 counting only the distinct ones).

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

Adding to 201310213120 its reverse (21312013102), we get a palindrome (222622226222).

The spelling of 201310213120 in words is "two hundred one billion, three hundred ten million, two hundred thirteen thousand, one hundred twenty".