1221131003313 has 32 divisors (see below), whose sum is σ = 1857659481216. Its totient is φ = 706842989568.

The previous prime is 1221131003311. The next prime is 1221131003329. The reversal of 1221131003313 is 3133001311221.

It is a happy number.

It is not a de Polignac number, because 1221131003313 - 2¹ = 1221131003311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1221131003313.

It is not an unprimeable number, because it can be changed into a prime (1221131003311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578506 + ... + 1666412.

It is an arithmetic number, because the mean of its divisors is an integer number (58051858788).

Almost surely, 2^{1221131003313} is an apocalyptic number.

1221131003313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1221131003313 is a deficient number, since it is larger than the sum of its proper divisors (636528477903).

1221131003313 is a wasteful number, since it uses less digits than its factorization.

1221131003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089633.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1221131003313 its reverse (3133001311221), we get a palindrome (4354132314534).

The spelling of 1221131003313 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, three thousand, three hundred thirteen".