4102224132013 has 24 divisors (see below), whose sum is σ = 4923556980480. Its totient is φ = 3406179722400.

The previous prime is 4102224131981. The next prime is 4102224132029. The reversal of 4102224132013 is 3102314222014.

It is not a de Polignac number, because 4102224132013 - 2⁵ = 4102224131981 is a prime.

It is a super-2 number, since 2×4102224132013² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102224102013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9792313 + ... + 10202638.

It is an arithmetic number, because the mean of its divisors is an integer number (205148207520).

Almost surely, 2^{4102224132013} is an apocalyptic number.

It is an amenable number.

4102224132013 is a deficient number, since it is larger than the sum of its proper divisors (821332848467).

4102224132013 is a wasteful number, since it uses less digits than its factorization.

4102224132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19995097 (or 19995090 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4102224132013 its reverse (3102314222014), we get a palindrome (7204538354027).

Subtracting from 4102224132013 its reverse (3102314222014), we obtain a palindrome (999909909999).

The spelling of 4102224132013 in words is "four trillion, one hundred two billion, two hundred twenty-four million, one hundred thirty-two thousand, thirteen".