13161261312457 has 2 divisors, whose sum is σ = 13161261312458. Its totient is φ = 13161261312456.

The previous prime is 13161261312439. The next prime is 13161261312503. The reversal of 13161261312457 is 75421316216131.

It is a happy number.

13161261312457 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., 11533929914896 + 1627331397561 = 3396164^2 + 1275669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13161261312457 is a prime.

It is a super-3 number, since 3×13161261312457³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13161261912457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6580630656228 + 6580630656229.

It is an arithmetic number, because the mean of its divisors is an integer number (6580630656229).

Almost surely, 2^{13161261312457} is an apocalyptic number.

It is an amenable number.

13161261312457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13161261312457 is an equidigital number, since it uses as much as digits as its factorization.

13161261312457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 43.

Adding to 13161261312457 its reverse (75421316216131), we get a palindrome (88582577528588).

The spelling of 13161261312457 in words is "thirteen trillion, one hundred sixty-one billion, two hundred sixty-one million, three hundred twelve thousand, four hundred fifty-seven".