10002213013 has 16 divisors (see below), whose sum is σ = 11223273600. Its totient is φ = 8850260160.

The previous prime is 10002212999. The next prime is 10002213017. The reversal of 10002213013 is 31031220001.

It is a cyclic number.

It is not a de Polignac number, because 10002213013 - 2⁵ = 10002212981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002212984 and 10002213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002213017) 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, 43033 + ... + 147838.

It is an arithmetic number, because the mean of its divisors is an integer number (701454600).

Almost surely, 2^10002213013 is an apocalyptic number.

10002213013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002213013 is a deficient number, since it is larger than the sum of its proper divisors (1221060587).

10002213013 is a wasteful number, since it uses less digits than its factorization.

10002213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191052.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10002213013 its reverse (31031220001), we get a palindrome (41033433014).

The spelling of 10002213013 in words is "ten billion, two million, two hundred thirteen thousand, thirteen".