2102012012313 has 6 divisors (see below), whose sum is σ = 3036239573354. Its totient is φ = 1401341341536.

The previous prime is 2102012012299. The next prime is 2102012012323. The reversal of 2102012012313 is 3132102102012.

2102012012313 is a `hidden beast` number, since 210 + 20 + 1 + 201 + 231 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1500593150169 + 601418862144 = 1224987^2 + 775512^2 .

It is not a de Polignac number, because 2102012012313 - 2¹⁴ = 2102011995929 is a prime.

It is a super-3 number, since 3×2102012012313³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102012012323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116778445120 + ... + 116778445137.

Almost surely, 2^{2102012012313} is an apocalyptic number.

It is an amenable number.

2102012012313 is a deficient number, since it is larger than the sum of its proper divisors (934227561041).

2102012012313 is a wasteful number, since it uses less digits than its factorization.

2102012012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233556890263 (or 233556890260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2102012012313 its reverse (3132102102012), we get a palindrome (5234114114325).

The spelling of 2102012012313 in words is "two trillion, one hundred two billion, twelve million, twelve thousand, three hundred thirteen".