2010313210320 has 240 divisors, whose sum is σ = 6993684406800. Its totient is φ = 517131141120.

The previous prime is 2010313210309. The next prime is 2010313210351. The reversal of 2010313210320 is 230123130102.

2010313210320 is a `hidden beast` number, since 2 + 0 + 10 + 313 + 21 + 0 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1235645667216 + 774667543104 = 1111596^2 + 880152^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2010313210293 and 2010313210302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244696 + ... + 3009864.

It is an arithmetic number, because the mean of its divisors is an integer number (29140351695).

Almost surely, 2^{2010313210320} is an apocalyptic number.

2010313210320 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 2010313210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496842203400).

2010313210320 is an abundant number, since it is smaller than the sum of its proper divisors (4983371196480).

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

2010313210320 is a wasteful number, since it uses less digits than its factorization.

2010313210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765318 (or 765309 counting only the distinct ones).

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

Adding to 2010313210320 its reverse (230123130102), we get a palindrome (2240436340422).

The spelling of 2010313210320 in words is "two trillion, ten billion, three hundred thirteen million, two hundred ten thousand, three hundred twenty".