2013211211121 has 48 divisors (see below), whose sum is σ = 3203123901120. Its totient is φ = 1208303631360.

The previous prime is 2013211211117. The next prime is 2013211211131. The reversal of 2013211211121 is 1211121123102.

It is a happy number.

2013211211121 is a `hidden beast` number, since 201 + 321 + 1 + 21 + 1 + 121 = 666.

It is not a de Polignac number, because 2013211211121 - 2² = 2013211211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013211211094 and 2013211211103.

It is not an unprimeable number, because it can be changed into a prime (2013211211111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13203165 + ... + 13354773.

It is an arithmetic number, because the mean of its divisors is an integer number (66731747940).

Almost surely, 2^{2013211211121} is an apocalyptic number.

It is an amenable number.

2013211211121 is a deficient number, since it is larger than the sum of its proper divisors (1189912689999).

2013211211121 is a wasteful number, since it uses less digits than its factorization.

2013211211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152926 (or 152923 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2013211211121 its reverse (1211121123102), we get a palindrome (3224332334223).

The spelling of 2013211211121 in words is "two trillion, thirteen billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-one".