13131221310301 has 2 divisors, whose sum is σ = 13131221310302. Its totient is φ = 13131221310300.

The previous prime is 13131221310283. The next prime is 13131221310329. The reversal of 13131221310301 is 10301312213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11344427686201 + 1786793624100 = 3368149^2 + 1336710^2 .

It is an emirp because it is prime and its reverse (10301312213131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131221310301 - 2⁷ = 13131221310173 is a prime.

It is a super-2 number, since 2×13131221310301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131221310391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565610655150 + 6565610655151.

It is an arithmetic number, because the mean of its divisors is an integer number (6565610655151).

Almost surely, 2^{13131221310301} is an apocalyptic number.

It is an amenable number.

13131221310301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131221310301 is an equidigital number, since it uses as much as digits as its factorization.

13131221310301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13131221310301 its reverse (10301312213131), we get a palindrome (23432533523432).

The spelling of 13131221310301 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred ten thousand, three hundred one".