2101332112013 has 4 divisors (see below), whose sum is σ = 2120610388380. Its totient is φ = 2082053835648.

The previous prime is 2101332112007. The next prime is 2101332112027. The reversal of 2101332112013 is 3102112331012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1539195053449 + 562137058564 = 1240643^2 + 749758^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101332112013 - 2¹⁰ = 2101332110989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101332112003) 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, 9639138020 + ... + 9639138237.

It is an arithmetic number, because the mean of its divisors is an integer number (530152597095).

Almost surely, 2^{2101332112013} is an apocalyptic number.

It is an amenable number.

2101332112013 is a deficient number, since it is larger than the sum of its proper divisors (19278276367).

2101332112013 is a wasteful number, since it uses less digits than its factorization.

2101332112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19278276366.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2101332112013 its reverse (3102112331012), we get a palindrome (5203444443025).

The spelling of 2101332112013 in words is "two trillion, one hundred one billion, three hundred thirty-two million, one hundred twelve thousand, thirteen".