2013013012011 has 8 divisors (see below), whose sum is σ = 2684505108480. Its totient is φ = 1341764795112.

The previous prime is 2013013011991. The next prime is 2013013012013. The reversal of 2013013012011 is 1102103103102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2013013012011 - 2³⁷ = 1875574058539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013013012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60950631 + ... + 60983648.

It is an arithmetic number, because the mean of its divisors is an integer number (335563138560).

Almost surely, 2^{2013013012011} is an apocalyptic number.

2013013012011 is a deficient number, since it is larger than the sum of its proper divisors (671492096469).

2013013012011 is a wasteful number, since it uses less digits than its factorization.

2013013012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121939785.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2013013012011 its reverse (1102103103102), we get a palindrome (3115116115113).

The spelling of 2013013012011 in words is "two trillion, thirteen billion, thirteen million, twelve thousand, eleven".