2002313103120 has 640 divisors, whose sum is σ = 7927412613120. Its totient is φ = 459783751680.

The previous prime is 2002313103067. The next prime is 2002313103139. The reversal of 2002313103120 is 213013132002.

2002313103120 is a `hidden beast` number, since 2 + 0 + 0 + 231 + 310 + 3 + 120 = 666.

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 = 2002313103093 and 2002313103102.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 56269654 + ... + 56305226.

It is an arithmetic number, because the mean of its divisors is an integer number (12386582208).

Almost surely, 2^{2002313103120} is an apocalyptic number.

2002313103120 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 2002313103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963706306560).

2002313103120 is an abundant number, since it is smaller than the sum of its proper divisors (5925099510000).

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

2002313103120 is a wasteful number, since it uses less digits than its factorization.

2002313103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35732 (or 35720 counting only the distinct ones).

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

Adding to 2002313103120 its reverse (213013132002), we get a palindrome (2215326235122).

The spelling of 2002313103120 in words is "two trillion, two billion, three hundred thirteen million, one hundred three thousand, one hundred twenty".