10300221144213 has 128 divisors (see below), whose sum is σ = 19934660014080. Its totient is φ = 4552744734720.

The previous prime is 10300221144209. The next prime is 10300221144247. The reversal of 10300221144213 is 31244112200301.

10300221144213 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 10300221144213 - 2² = 10300221144209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300221144203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328420 + ... + 4550637.

It is an arithmetic number, because the mean of its divisors is an integer number (155739531360).

Almost surely, 2^{10300221144213} is an apocalyptic number.

10300221144213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10300221144213 is a deficient number, since it is larger than the sum of its proper divisors (9634438869867).

10300221144213 is a wasteful number, since it uses less digits than its factorization.

10300221144213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879147.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10300221144213 its reverse (31244112200301), we get a palindrome (41544333344514).

The spelling of 10300221144213 in words is "ten trillion, three hundred billion, two hundred twenty-one million, one hundred forty-four thousand, two hundred thirteen".