2113120331300 has 288 divisors, whose sum is σ = 5119472332800. Its totient is φ = 750681792000.

The previous prime is 2113120331293. The next prime is 2113120331339. The reversal of 2113120331300 is 31330213112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4411524461 + ... + 4411524939.

It is an arithmetic number, because the mean of its divisors is an integer number (17775945600).

Almost surely, 2^{2113120331300} is an apocalyptic number.

2113120331300 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 2113120331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559736166400).

2113120331300 is an abundant number, since it is smaller than the sum of its proper divisors (3006352001500).

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

2113120331300 is a wasteful number, since it uses less digits than its factorization.

2113120331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2113120331300 its reverse (31330213112), we get a palindrome (2144450544412).

The spelling of 2113120331300 in words is "two trillion, one hundred thirteen billion, one hundred twenty million, three hundred thirty-one thousand, three hundred".