2013513121 has 2 divisors, whose sum is σ = 2013513122. Its totient is φ = 2013513120.

The previous prime is 2013513107. The next prime is 2013513169. The reversal of 2013513121 is 1213153102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1974824721 + 38688400 = 44439^2 + 6220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013513121 - 2¹⁹ = 2012988833 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013513221) 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, 1006756560 + 1006756561.

It is an arithmetic number, because the mean of its divisors is an integer number (1006756561).

Almost surely, 2^2013513121 is an apocalyptic number.

It is an amenable number.

2013513121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013513121 is an equidigital number, since it uses as much as digits as its factorization.

2013513121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2013513121 is about 44872.1864967599. The cubic root of 2013513121 is about 1262.7522606207.

Adding to 2013513121 its reverse (1213153102), we get a palindrome (3226666223).

The spelling of 2013513121 in words is "two billion, thirteen million, five hundred thirteen thousand, one hundred twenty-one".