13101302221313 has 2 divisors, whose sum is σ = 13101302221314. Its totient is φ = 13101302221312.

The previous prime is 13101302221309. The next prime is 13101302221369. The reversal of 13101302221313 is 31312220310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12929547509824 + 171754711489 = 3595768^2 + 414433^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101302221313 - 2² = 13101302221309 is a prime.

It is a super-3 number, since 3×13101302221313³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13101302521313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550651110656 + 6550651110657.

It is an arithmetic number, because the mean of its divisors is an integer number (6550651110657).

Almost surely, 2^{13101302221313} is an apocalyptic number.

It is an amenable number.

13101302221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101302221313 is an equidigital number, since it uses as much as digits as its factorization.

13101302221313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13101302221313 its reverse (31312220310131), we get a palindrome (44413522531444).

The spelling of 13101302221313 in words is "thirteen trillion, one hundred one billion, three hundred two million, two hundred twenty-one thousand, three hundred thirteen".