2013123233331 has 60 divisors (see below), whose sum is σ = 3499272017208. Its totient is φ = 1150016470848.

The previous prime is 2013123233311. The next prime is 2013123233339. The reversal of 2013123233331 is 1333323213102.

2013123233331 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 2 + 323 + 3 + 331 = 666.

It is not a de Polignac number, because 2013123233331 - 2⁵ = 2013123233299 is a prime.

It is a super-2 number, since 2×2013123233331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2013123233295 and 2013123233304.

It is not an unprimeable number, because it can be changed into a prime (2013123233339) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13687375 + ... + 13833671.

Almost surely, 2^{2013123233331} is an apocalyptic number.

2013123233331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2013123233331 is a deficient number, since it is larger than the sum of its proper divisors (1486148783877).

2013123233331 is a wasteful number, since it uses less digits than its factorization.

2013123233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149790 (or 149774 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2013123233331 its reverse (1333323213102), we get a palindrome (3346446446433).

The spelling of 2013123233331 in words is "two trillion, thirteen billion, one hundred twenty-three million, two hundred thirty-three thousand, three hundred thirty-one".