2114100001300 has 144 divisors (see below), whose sum is σ = 5267867834880. Its totient is φ = 721395440640.

The previous prime is 2114100001289. The next prime is 2114100001357. The reversal of 2114100001300 is 31000014112.

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, 588392304 + ... + 588395896.

It is an arithmetic number, because the mean of its divisors is an integer number (36582415520).

Almost surely, 2^{2114100001300} is an apocalyptic number.

2114100001300 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 2114100001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633933917440).

2114100001300 is an abundant number, since it is smaller than the sum of its proper divisors (3153767833580).

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

2114100001300 is a wasteful number, since it uses less digits than its factorization.

2114100001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2114100001300 its reverse (31000014112), we get a palindrome (2145100015412).

The spelling of 2114100001300 in words is "two trillion, one hundred fourteen billion, one hundred million, one thousand, three hundred".