20214144000213 has 16 divisors (see below), whose sum is σ = 26957136691200. Its totient is φ = 13473623927664.

The previous prime is 20214144000161. The next prime is 20214144000221. The reversal of 20214144000213 is 31200044141202.

It is not a de Polignac number, because 20214144000213 - 2¹⁷ = 20214143869141 is a prime.

It is a super-2 number, since 2×20214144000213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20214144040213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467001070 + ... + 467044352.

It is an arithmetic number, because the mean of its divisors is an integer number (1684821043200).

Almost surely, 2^{20214144000213} is an apocalyptic number.

It is an amenable number.

20214144000213 is a deficient number, since it is larger than the sum of its proper divisors (6742992690987).

20214144000213 is a wasteful number, since it uses less digits than its factorization.

20214144000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68248.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20214144000213 its reverse (31200044141202), we get a palindrome (51414188141415).

The spelling of 20214144000213 in words is "twenty trillion, two hundred fourteen billion, one hundred forty-four million, two hundred thirteen", and thus it is an aban number.