10221034214013 has 16 divisors (see below), whose sum is σ = 15596157472896. Its totient is φ = 5832622906560.

The previous prime is 10221034213993. The next prime is 10221034214029. The reversal of 10221034214013 is 31041243012201.

10221034214013 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 10221034214013 - 2⁸ = 10221034213757 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 (10221034214213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331987278 + ... + 332018063.

It is an arithmetic number, because the mean of its divisors is an integer number (974759842056).

Almost surely, 2^{10221034214013} is an apocalyptic number.

It is an amenable number.

10221034214013 is a deficient number, since it is larger than the sum of its proper divisors (5375123258883).

10221034214013 is an equidigital number, since it uses as much as digits as its factorization.

10221034214013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664006084.

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

Adding to 10221034214013 its reverse (31041243012201), we get a palindrome (41262277226214).

The spelling of 10221034214013 in words is "ten trillion, two hundred twenty-one billion, thirty-four million, two hundred fourteen thousand, thirteen".