2114400013 has 8 divisors (see below), whose sum is σ = 2324782080. Its totient is φ = 1907045280.

The previous prime is 2114399993. The next prime is 2114400031. The reversal of 2114400013 is 3100044112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2114400013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114400013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114400413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 755368 + ... + 758161.

It is an arithmetic number, because the mean of its divisors is an integer number (290597760).

Almost surely, 2^2114400013 is an apocalyptic number.

It is an amenable number.

2114400013 is a deficient number, since it is larger than the sum of its proper divisors (210382067).

2114400013 is a wasteful number, since it uses less digits than its factorization.

2114400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513667.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2114400013 is about 45982.6055481853. The cubic root of 2114400013 is about 1283.4995407078.

Adding to 2114400013 its reverse (3100044112), we get a palindrome (5214444125).

The spelling of 2114400013 in words is "two billion, one hundred fourteen million, four hundred thousand, thirteen".