1213312003121 has 2 divisors, whose sum is σ = 1213312003122. Its totient is φ = 1213312003120.

The previous prime is 1213312003109. The next prime is 1213312003201. The reversal of 1213312003121 is 1213002133121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1209967000225 + 3345002896 = 1099985^2 + 57836^2 .

It is a cyclic number.

It is not a de Polignac number, because 1213312003121 - 2¹⁴ = 1213311986737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1213312003093 and 1213312003102.

It is not a weakly prime, because it can be changed into another prime (1213312006121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 606656001560 + 606656001561.

It is an arithmetic number, because the mean of its divisors is an integer number (606656001561).

Almost surely, 2^{1213312003121} is an apocalyptic number.

It is an amenable number.

1213312003121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1213312003121 is an equidigital number, since it uses as much as digits as its factorization.

1213312003121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1213312003121 its reverse (1213002133121), we get a palindrome (2426314136242).

The spelling of 1213312003121 in words is "one trillion, two hundred thirteen billion, three hundred twelve million, three thousand, one hundred twenty-one".