1221301121313 has 64 divisors (see below), whose sum is σ = 2020180377600. Its totient is φ = 639065306880.

The previous prime is 1221301121309. The next prime is 1221301121321. The reversal of 1221301121313 is 3131211031221.

It is not a de Polignac number, because 1221301121313 - 2² = 1221301121309 is a prime.

It is a super-2 number, since 2×1221301121313² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1221301121313.

It is not an unprimeable number, because it can be changed into a prime (1221301121713) 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 63 ways as a sum of consecutive naturals, for example, 188789643 + ... + 188796111.

It is an arithmetic number, because the mean of its divisors is an integer number (31565318400).

Almost surely, 2^{1221301121313} is an apocalyptic number.

1221301121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1221301121313 is a deficient number, since it is larger than the sum of its proper divisors (798879256287).

1221301121313 is a wasteful number, since it uses less digits than its factorization.

1221301121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1221301121313 its reverse (3131211031221), we get a palindrome (4352512152534).

The spelling of 1221301121313 in words is "one trillion, two hundred twenty-one billion, three hundred one million, one hundred twenty-one thousand, three hundred thirteen".