10102200313213 has 4 divisors (see below), whose sum is σ = 10633895066560. Its totient is φ = 9570505559868.

The previous prime is 10102200313181. The next prime is 10102200313237. The reversal of 10102200313213 is 31231300220101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10102200313213 - 2⁵ = 10102200313181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 531694753327 = 10102200313213 / (1 + 0 + 1 + 0 + 2 + 2 + 0 + 0 + 3 + 1 + 3 + 2 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102200313243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265847376645 + ... + 265847376682.

It is an arithmetic number, because the mean of its divisors is an integer number (2658473766640).

Almost surely, 2^{10102200313213} is an apocalyptic number.

It is an amenable number.

10102200313213 is a deficient number, since it is larger than the sum of its proper divisors (531694753347).

10102200313213 is an equidigital number, since it uses as much as digits as its factorization.

10102200313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531694753346.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10102200313213 its reverse (31231300220101), we get a palindrome (41333500533314).

The spelling of 10102200313213 in words is "ten trillion, one hundred two billion, two hundred million, three hundred thirteen thousand, two hundred thirteen".