2013112313021 has 2 divisors, whose sum is σ = 2013112313022. Its totient is φ = 2013112313020.

The previous prime is 2013112312999. The next prime is 2013112313039. The reversal of 2013112313021 is 1203132113102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1061734464025 + 951377848996 = 1030405^2 + 975386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013112313021 is a prime.

It is a super-2 number, since 2×2013112313021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013112312984 and 2013112313002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013112313071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006556156510 + 1006556156511.

It is an arithmetic number, because the mean of its divisors is an integer number (1006556156511).

Almost surely, 2^{2013112313021} is an apocalyptic number.

It is an amenable number.

2013112313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013112313021 is an equidigital number, since it uses as much as digits as its factorization.

2013112313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2013112313021 its reverse (1203132113102), we get a palindrome (3216244426123).

The spelling of 2013112313021 in words is "two trillion, thirteen billion, one hundred twelve million, three hundred thirteen thousand, twenty-one".