1003102200213 has 32 divisors (see below), whose sum is σ = 1380289351680. Its totient is φ = 647674130880.

The previous prime is 1003102200187. The next prime is 1003102200257. The reversal of 1003102200213 is 3120022013001.

1003102200213 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 1003102200213 - 2⁵ = 1003102200181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003102200192 and 1003102200201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003102200313) 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, 17854795 + ... + 17910887.

It is an arithmetic number, because the mean of its divisors is an integer number (43134042240).

Almost surely, 2^{1003102200213} is an apocalyptic number.

It is an amenable number.

1003102200213 is a deficient number, since it is larger than the sum of its proper divisors (377187151467).

1003102200213 is a wasteful number, since it uses less digits than its factorization.

1003102200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57649.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1003102200213 its reverse (3120022013001), we get a palindrome (4123124213214).

The spelling of 1003102200213 in words is "one trillion, three billion, one hundred two million, two hundred thousand, two hundred thirteen".