2102312132013 has 16 divisors (see below), whose sum is σ = 2814035596416. Its totient is φ = 1396066161600.

The previous prime is 2102312131999. The next prime is 2102312132021. The reversal of 2102312132013 is 3102312132012.

It is not a de Polignac number, because 2102312132013 - 2⁸ = 2102312131757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102312132033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7677331 + ... + 7946447.

It is an arithmetic number, because the mean of its divisors is an integer number (175877224776).

Almost surely, 2^{2102312132013} is an apocalyptic number.

It is an amenable number.

2102312132013 is a deficient number, since it is larger than the sum of its proper divisors (711723464403).

2102312132013 is a wasteful number, since it uses less digits than its factorization.

2102312132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279284.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2102312132013 its reverse (3102312132012), we get a palindrome (5204624264025).

Subtracting 2102312132013 from its reverse (3102312132012), we obtain a palindrome (999999999999).

The spelling of 2102312132013 in words is "two trillion, one hundred two billion, three hundred twelve million, one hundred thirty-two thousand, thirteen".