2301313123120 has 240 divisors, whose sum is σ = 6031353968640. Its totient is φ = 815560542720.

The previous prime is 2301313123117. The next prime is 2301313123127. The reversal of 2301313123120 is 213213131032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2301313123091 and 2301313123100.

It is not an unprimeable number, because it can be changed into a prime (2301313123127) 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 47 ways as a sum of consecutive naturals, for example, 194378161 + ... + 194389999.

It is an arithmetic number, because the mean of its divisors is an integer number (25130641536).

Almost surely, 2^{2301313123120} is an apocalyptic number.

2301313123120 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 2301313123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015676984320).

2301313123120 is an abundant number, since it is smaller than the sum of its proper divisors (3730040845520).

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

2301313123120 is a wasteful number, since it uses less digits than its factorization.

2301313123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2301313123120 its reverse (213213131032), we get a palindrome (2514526254152).

The spelling of 2301313123120 in words is "two trillion, three hundred one billion, three hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".