10002000103213 has 4 divisors (see below), whose sum is σ = 10002007980540. Its totient is φ = 10001992225888.

The previous prime is 10002000103211. The next prime is 10002000103219. The reversal of 10002000103213 is 31230100020001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 9053972676324 + 948027426889 = 3008982^2 + 973667^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002000103213 - 2¹ = 10002000103211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002000103193 and 10002000103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000103211) 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, 1552018 + ... + 4734211.

It is an arithmetic number, because the mean of its divisors is an integer number (2500501995135).

Almost surely, 2^{10002000103213} is an apocalyptic number.

It is an amenable number.

10002000103213 is a deficient number, since it is larger than the sum of its proper divisors (7877327).

10002000103213 is an equidigital number, since it uses as much as digits as its factorization.

10002000103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877326.

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

Adding to 10002000103213 its reverse (31230100020001), we get a palindrome (41232100123214).

The spelling of 10002000103213 in words is "ten trillion, two billion, one hundred three thousand, two hundred thirteen".