214002121113 has 24 divisors (see below), whose sum is σ = 337285368576. Its totient is φ = 129671368800.

The previous prime is 214002121097. The next prime is 214002121169. The reversal of 214002121113 is 311121200412.

214002121113 is a `hidden beast` number, since 21 + 400 + 21 + 211 + 13 = 666.

214002121113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214002121113 - 2⁴ = 214002121097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214002131113) 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 23 ways as a sum of consecutive naturals, for example, 261208 + ... + 704438.

It is an arithmetic number, because the mean of its divisors is an integer number (14053557024).

Almost surely, 2^214002121113 is an apocalyptic number.

It is an amenable number.

214002121113 is a deficient number, since it is larger than the sum of its proper divisors (123283247463).

214002121113 is a wasteful number, since it uses less digits than its factorization.

214002121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448125 (or 448122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 214002121113 its reverse (311121200412), we get a palindrome (525123321525).

The spelling of 214002121113 in words is "two hundred fourteen billion, two million, one hundred twenty-one thousand, one hundred thirteen".