13101310203281 has 2 divisors, whose sum is σ = 13101310203282. Its totient is φ = 13101310203280.

The previous prime is 13101310203257. The next prime is 13101310203329. The reversal of 13101310203281 is 18230201310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11581906368400 + 1519403834881 = 3403220^2 + 1232641^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101310203281 - 2²⁶ = 13101243094417 is a prime.

It is a super-2 number, since 2×13101310203281² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101310203281.

It is not a weakly prime, because it can be changed into another prime (13101310208281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550655101640 + 6550655101641.

It is an arithmetic number, because the mean of its divisors is an integer number (6550655101641).

Almost surely, 2^{13101310203281} is an apocalyptic number.

It is an amenable number.

13101310203281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101310203281 is an equidigital number, since it uses as much as digits as its factorization.

13101310203281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 13101310203281 in words is "thirteen trillion, one hundred one billion, three hundred ten million, two hundred three thousand, two hundred eighty-one".