2013013031121 has 12 divisors (see below), whose sum is σ = 2917034964480. Its totient is φ = 1337693545080.

The previous prime is 2013013031101. The next prime is 2013013031143. The reversal of 2013013031121 is 1211303103102.

2013013031121 is a `hidden beast` number, since 2 + 0 + 1 + 301 + 30 + 311 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2013013031121 is a prime.

It is a super-2 number, since 2×2013013031121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013013031094 and 2013013031103.

It is not an unprimeable number, because it can be changed into a prime (2013013031101) 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, 359592241 + ... + 359597838.

It is an arithmetic number, because the mean of its divisors is an integer number (243086247040).

Almost surely, 2^{2013013031121} is an apocalyptic number.

It is an amenable number.

2013013031121 is a deficient number, since it is larger than the sum of its proper divisors (904021933359).

2013013031121 is a wasteful number, since it uses less digits than its factorization.

2013013031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719190396 (or 719190393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013013031121 its reverse (1211303103102), we get a palindrome (3224316134223).

The spelling of 2013013031121 in words is "two trillion, thirteen billion, thirteen million, thirty-one thousand, one hundred twenty-one".