13130413212361 has 2 divisors, whose sum is σ = 13130413212362. Its totient is φ = 13130413212360.

The previous prime is 13130413212317. The next prime is 13130413212463. The reversal of 13130413212361 is 16321231403131.

13130413212361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11255756601600 + 1874656610761 = 3354960^2 + 1369181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13130413212361 is a prime.

It is a super-2 number, since 2×13130413212361² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13130413212061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565206606180 + 6565206606181.

It is an arithmetic number, because the mean of its divisors is an integer number (6565206606181).

Almost surely, 2^{13130413212361} is an apocalyptic number.

It is an amenable number.

13130413212361 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130413212361 is an equidigital number, since it uses as much as digits as its factorization.

13130413212361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 13130413212361 its reverse (16321231403131), we get a palindrome (29451644615492).

The spelling of 13130413212361 in words is "thirteen trillion, one hundred thirty billion, four hundred thirteen million, two hundred twelve thousand, three hundred sixty-one".