13131000013301 has 2 divisors, whose sum is σ = 13131000013302. Its totient is φ = 13131000013300.

The previous prime is 13131000013273. The next prime is 13131000013331. The reversal of 13131000013301 is 10331000013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12456318481201 + 674681532100 = 3529351^2 + 821390^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131000013301 - 2⁶ = 13131000013237 is a prime.

It is a super-2 number, since 2×13131000013301² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13131000013301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131000013331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565500006650 + 6565500006651.

It is an arithmetic number, because the mean of its divisors is an integer number (6565500006651).

Almost surely, 2^{13131000013301} is an apocalyptic number.

It is an amenable number.

13131000013301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131000013301 is an equidigital number, since it uses as much as digits as its factorization.

13131000013301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13131000013301 its reverse (10331000013131), we get a palindrome (23462000026432).

The spelling of 13131000013301 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, three hundred one".