2101213110013 has 8 divisors (see below), whose sum is σ = 2107773120600. Its totient is φ = 2094656182080.

The previous prime is 2101213110011. The next prime is 2101213110019. The reversal of 2101213110013 is 3100113121012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 406785013209 + 1694428096804 = 637797^2 + 1301702^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101213110013 - 2¹ = 2101213110011 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 (2101213110011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598503 + ... + 2135563.

It is an arithmetic number, because the mean of its divisors is an integer number (263471640075).

Almost surely, 2^{2101213110013} is an apocalyptic number.

It is an amenable number.

2101213110013 is a deficient number, since it is larger than the sum of its proper divisors (6560010587).

2101213110013 is a wasteful number, since it uses less digits than its factorization.

2101213110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541327.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2101213110013 its reverse (3100113121012), we get a palindrome (5201326231025).

The spelling of 2101213110013 in words is "two trillion, one hundred one billion, two hundred thirteen million, one hundred ten thousand, thirteen".