10300313211221 has 32 divisors (see below), whose sum is σ = 11953626693120. Its totient is φ = 8777069928000.

The previous prime is 10300313211197. The next prime is 10300313211271. The reversal of 10300313211221 is 12211231300301.

It is a happy number.

It is not a de Polignac number, because 10300313211221 - 2²² = 10300309016917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10300313211193 and 10300313211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300313211271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29951570 + ... + 30293516.

It is an arithmetic number, because the mean of its divisors is an integer number (373550834160).

Almost surely, 2^{10300313211221} is an apocalyptic number.

10300313211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10300313211221 is a deficient number, since it is larger than the sum of its proper divisors (1653313481899).

10300313211221 is a wasteful number, since it uses less digits than its factorization.

10300313211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343505.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10300313211221 its reverse (12211231300301), we get a palindrome (22511544511522).

The spelling of 10300313211221 in words is "ten trillion, three hundred billion, three hundred thirteen million, two hundred eleven thousand, two hundred twenty-one".