2013211311331 has 12 divisors (see below), whose sum is σ = 2226963357136. Its totient is φ = 1818534809520.

The previous prime is 2013211311323. The next prime is 2013211311347. The reversal of 2013211311331 is 1331131123102.

It is not a de Polignac number, because 2013211311331 - 2³ = 2013211311323 is a prime.

It is a super-2 number, since 2×2013211311331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013211311031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52968615 + ... + 53006608.

Almost surely, 2^{2013211311331} is an apocalyptic number.

2013211311331 is a deficient number, since it is larger than the sum of its proper divisors (213752045805).

2013211311331 is a wasteful number, since it uses less digits than its factorization.

2013211311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105975402 (or 105975391 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 2013211311331 its reverse (1331131123102), we get a palindrome (3344342434433).

The spelling of 2013211311331 in words is "two trillion, thirteen billion, two hundred eleven million, three hundred eleven thousand, three hundred thirty-one".