2012101013313 has 6 divisors (see below), whose sum is σ = 2906368130354. Its totient is φ = 1341400675536.

The previous prime is 2012101013309. The next prime is 2012101013369. The reversal of 2012101013313 is 3133101012102.

2012101013313 is a `hidden beast` number, since 20 + 1 + 210 + 101 + 331 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1281224775744 + 730876237569 = 1131912^2 + 854913^2 .

It is not a de Polignac number, because 2012101013313 - 2² = 2012101013309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2012101015313) 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, 111783389620 + ... + 111783389637.

Almost surely, 2^{2012101013313} is an apocalyptic number.

It is an amenable number.

2012101013313 is a deficient number, since it is larger than the sum of its proper divisors (894267117041).

2012101013313 is a wasteful number, since it uses less digits than its factorization.

2012101013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223566779263 (or 223566779260 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2012101013313 its reverse (3133101012102), we get a palindrome (5145202025415).

The spelling of 2012101013313 in words is "two trillion, twelve billion, one hundred one million, thirteen thousand, three hundred thirteen".