1221332013 has 60 divisors (see below), whose sum is σ = 2075031420. Its totient is φ = 714510720.

The previous prime is 1221332011. The next prime is 1221332033. The reversal of 1221332013 is 3102331221.

It can be written as a sum of positive squares in 2 ways, for example, as 647346249 + 573985764 = 25443^2 + 23958^2 .

It is not a de Polignac number, because 1221332013 - 2¹ = 1221332011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221332011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 282081 + ... + 286377.

It is an arithmetic number, because the mean of its divisors is an integer number (34583857).

Almost surely, 2^1221332013 is an apocalyptic number.

It is an amenable number.

1221332013 is a deficient number, since it is larger than the sum of its proper divisors (853699407).

1221332013 is a wasteful number, since it uses less digits than its factorization.

1221332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1221332013 is about 34947.5609020143. The cubic root of 1221332013 is about 1068.9184672566.

Adding to 1221332013 its reverse (3102331221), we get a palindrome (4323663234).

The spelling of 1221332013 in words is "one billion, two hundred twenty-one million, three hundred thirty-two thousand, thirteen".