2013122131033 has 8 divisors (see below), whose sum is σ = 2169325109000. Its totient is φ = 1857111643008.

The previous prime is 2013122130889. The next prime is 2013122131037. The reversal of 2013122131033 is 3301312213102.

It can be written as a sum of positive squares in 4 ways, for example, as 36083661849 + 1977038469184 = 189957^2 + 1406072^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013122131033 - 2²⁹ = 2012585260121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013122130995 and 2013122131013.

It is not an unprimeable number, because it can be changed into a prime (2013122131037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48100758 + ... + 48142591.

It is an arithmetic number, because the mean of its divisors is an integer number (271165638625).

Almost surely, 2^{2013122131033} is an apocalyptic number.

It is an amenable number.

2013122131033 is a deficient number, since it is larger than the sum of its proper divisors (156202977967).

2013122131033 is a wasteful number, since it uses less digits than its factorization.

2013122131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96244971.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2013122131033 its reverse (3301312213102), we get a palindrome (5314434344135).

The spelling of 2013122131033 in words is "two trillion, thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, thirty-three".