13105434455213 has 2 divisors, whose sum is σ = 13105434455214. Its totient is φ = 13105434455212.

The previous prime is 13105434455147. The next prime is 13105434455279. The reversal of 13105434455213 is 31255443450131.

It is a balanced prime because it is at equal distance from previous prime (13105434455147) and next prime (13105434455279).

It can be written as a sum of positive squares in only one way, i.e., 9749862615529 + 3355571839684 = 3122477^2 + 1831822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13105434455213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105434452213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552717227606 + 6552717227607.

It is an arithmetic number, because the mean of its divisors is an integer number (6552717227607).

Almost surely, 2^{13105434455213} is an apocalyptic number.

It is an amenable number.

13105434455213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105434455213 is an equidigital number, since it uses as much as digits as its factorization.

13105434455213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 13105434455213 in words is "thirteen trillion, one hundred five billion, four hundred thirty-four million, four hundred fifty-five thousand, two hundred thirteen".