2013012101331 has 72 divisors (see below), whose sum is σ = 3826562935104. Its totient is φ = 1045720504080.

The previous prime is 2013012101293. The next prime is 2013012101377. The reversal of 2013012101331 is 1331012103102.

2013012101331 is a `hidden beast` number, since 20 + 1 + 301 + 2 + 10 + 1 + 331 = 666.

It is not a de Polignac number, because 2013012101331 - 2²⁷ = 2012877883603 is a prime.

It is a super-2 number, since 2×2013012101331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013012100331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7553625 + ... + 7815578.

It is an arithmetic number, because the mean of its divisors is an integer number (53146707432).

Almost surely, 2^{2013012101331} is an apocalyptic number.

2013012101331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2013012101331 is a deficient number, since it is larger than the sum of its proper divisors (1813550833773).

2013012101331 is a wasteful number, since it uses less digits than its factorization.

2013012101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369243 (or 15369224 counting only the distinct ones).

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

Adding to 2013012101331 its reverse (1331012103102), we get a palindrome (3344024204433).

The spelling of 2013012101331 in words is "two trillion, thirteen billion, twelve million, one hundred one thousand, three hundred thirty-one".