2013412321 has 2 divisors, whose sum is σ = 2013412322. Its totient is φ = 2013412320.

The previous prime is 2013412309. The next prime is 2013412333. The reversal of 2013412321 is 1232143102.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2013412309) and next prime (2013412333).

It can be written as a sum of positive squares in only one way, i.e., 1856661921 + 156750400 = 43089^2 + 12520^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013412321 - 2¹⁵ = 2013379553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013412351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006706160 + 1006706161.

It is an arithmetic number, because the mean of its divisors is an integer number (1006706161).

Almost surely, 2^2013412321 is an apocalyptic number.

It is an amenable number.

2013412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013412321 is an equidigital number, since it uses as much as digits as its factorization.

2013412321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2013412321 is about 44871.0632925051. The cubic root of 2013412321 is about 1262.7311884044.

Adding to 2013412321 its reverse (1232143102), we get a palindrome (3245555423).

The spelling of 2013412321 in words is "two billion, thirteen million, four hundred twelve thousand, three hundred twenty-one".