2013211121311 has 16 divisors (see below), whose sum is σ = 2282509756800. Its totient is φ = 1760288558688.

The previous prime is 2013211121267. The next prime is 2013211121359. The reversal of 2013211121311 is 1131211123102.

It is a cyclic number.

It is not a de Polignac number, because 2013211121311 - 2¹⁹ = 2013210597023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013211121371) 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, 1153080 + ... + 2314306.

It is an arithmetic number, because the mean of its divisors is an integer number (142656859800).

Almost surely, 2^{2013211121311} is an apocalyptic number.

2013211121311 is a deficient number, since it is larger than the sum of its proper divisors (269298635489).

2013211121311 is a wasteful number, since it uses less digits than its factorization.

2013211121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168278.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 2013211121311 its reverse (1131211123102), we get a palindrome (3144422244413).

The spelling of 2013211121311 in words is "two trillion, thirteen billion, two hundred eleven million, one hundred twenty-one thousand, three hundred eleven".