1300101121213 has 2 divisors, whose sum is σ = 1300101121214. Its totient is φ = 1300101121212.

The previous prime is 1300101121183. The next prime is 1300101121237. The reversal of 1300101121213 is 3121211010031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1251395720964 + 48705400249 = 1118658^2 + 220693^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300101121213 - 2¹⁷ = 1300100990141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300101121243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650050560606 + 650050560607.

It is an arithmetic number, because the mean of its divisors is an integer number (650050560607).

Almost surely, 2^{1300101121213} is an apocalyptic number.

It is an amenable number.

1300101121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300101121213 is an equidigital number, since it uses as much as digits as its factorization.

1300101121213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1300101121213 its reverse (3121211010031), we get a palindrome (4421312131244).

The spelling of 1300101121213 in words is "one trillion, three hundred billion, one hundred one million, one hundred twenty-one thousand, two hundred thirteen".