2013420121 has 2 divisors, whose sum is σ = 2013420122. Its totient is φ = 2013420120.

The previous prime is 2013420119. The next prime is 2013420133. The reversal of 2013420121 is 1210243102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1557170521 + 456249600 = 39461^2 + 21360^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013420121 - 2¹ = 2013420119 is a prime.

Together with 2013420119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2013420095 and 2013420104.

It is not a weakly prime, because it can be changed into another prime (2013420221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006710060 + 1006710061.

It is an arithmetic number, because the mean of its divisors is an integer number (1006710061).

Almost surely, 2^2013420121 is an apocalyptic number.

It is an amenable number.

2013420121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013420121 is an equidigital number, since it uses as much as digits as its factorization.

2013420121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2013420121 is about 44871.1502081237. The cubic root of 2013420121 is about 1262.7328190177.

Adding to 2013420121 its reverse (1210243102), we get a palindrome (3223663223).

The spelling of 2013420121 in words is "two billion, thirteen million, four hundred twenty thousand, one hundred twenty-one".