10000002100013 has 4 divisors (see below), whose sum is σ = 10000068869280. Its totient is φ = 9999935330748.

The previous prime is 10000002099917. The next prime is 10000002100021. The reversal of 10000002100013 is 31000120000001.

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 10000002100013 - 2⁴² = 5601955588909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000005100013) 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, 33159473 + ... + 33459686.

It is an arithmetic number, because the mean of its divisors is an integer number (2500017217320).

Almost surely, 2^{10000002100013} is an apocalyptic number.

It is an amenable number.

10000002100013 is a deficient number, since it is larger than the sum of its proper divisors (66769267).

10000002100013 is an equidigital number, since it uses as much as digits as its factorization.

10000002100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66769266.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10000002100013 its reverse (31000120000001), we get a palindrome (41000122100014).

It can be divided in two parts, 1000000 and 2100013, that added together give a palindrome (3100013).

The spelling of 10000002100013 in words is "ten trillion, two million, one hundred thousand, thirteen".