2010111211013 has 8 divisors (see below), whose sum is σ = 2028708785400. Its totient is φ = 1991516476608.

The previous prime is 2010111210977. The next prime is 2010111211049. The reversal of 2010111211013 is 3101121110102.

It is an interprime number because it is at equal distance from previous prime (2010111210977) and next prime (2010111211049).

It can be written as a sum of positive squares in 4 ways, for example, as 18123352129 + 1991987858884 = 134623^2 + 1411378^2 .

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 2010111211013 - 2¹⁶ = 2010111145477 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 (2010111211063) 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, 725495 + ... + 2132267.

It is an arithmetic number, because the mean of its divisors is an integer number (253588598175).

Almost surely, 2^{2010111211013} is an apocalyptic number.

It is an amenable number.

2010111211013 is a deficient number, since it is larger than the sum of its proper divisors (18597574387).

2010111211013 is a wasteful number, since it uses less digits than its factorization.

2010111211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419991.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2010111211013 its reverse (3101121110102), we get a palindrome (5111232321115).

The spelling of 2010111211013 in words is "two trillion, ten billion, one hundred eleven million, two hundred eleven thousand, thirteen".