1221004201313 has 16 divisors (see below), whose sum is σ = 1351242796176. Its totient is φ = 1095988527360.

The previous prime is 1221004201297. The next prime is 1221004201381. The reversal of 1221004201313 is 3131024001221.

It can be written as a sum of positive squares in 8 ways, for example, as 28208210209 + 1192795991104 = 167953^2 + 1092152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221004201313 - 2⁴ = 1221004201297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1221004201913) 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 15 ways as a sum of consecutive naturals, for example, 108395 + ... + 1566447.

It is an arithmetic number, because the mean of its divisors is an integer number (84452674761).

Almost surely, 2^{1221004201313} is an apocalyptic number.

1221004201313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1221004201313 is a deficient number, since it is larger than the sum of its proper divisors (130238594863).

1221004201313 is a wasteful number, since it uses less digits than its factorization.

1221004201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459844.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1221004201313 its reverse (3131024001221), we get a palindrome (4352028202534).

The spelling of 1221004201313 in words is "one trillion, two hundred twenty-one billion, four million, two hundred one thousand, three hundred thirteen".