114013000213 has 8 divisors (see below), whose sum is σ = 130602896640. Its totient is φ = 97498685040.

The previous prime is 114013000201. The next prime is 114013000249. The reversal of 114013000213 is 312000310411.

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

It is a cyclic number.

It is not a de Polignac number, because 114013000213 - 2⁹ = 114012999701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114013009213) 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, 18892078 + ... + 18898111.

It is an arithmetic number, because the mean of its divisors is an integer number (16325362080).

Almost surely, 2^114013000213 is an apocalyptic number.

It is an amenable number.

114013000213 is a deficient number, since it is larger than the sum of its proper divisors (16589896427).

114013000213 is an equidigital number, since it uses as much as digits as its factorization.

114013000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37790627.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 114013000213 its reverse (312000310411), we get a palindrome (426013310624).

The spelling of 114013000213 in words is "one hundred fourteen billion, thirteen million, two hundred thirteen", and thus it is an aban number.