13434144101957 has 2 divisors, whose sum is σ = 13434144101958. Its totient is φ = 13434144101956.

The previous prime is 13434144101827. The next prime is 13434144102013. The reversal of 13434144101957 is 75910144143431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9406893848356 + 4027250253601 = 3067066^2 + 2006801^2 .

It is a cyclic number.

It is not a de Polignac number, because 13434144101957 - 2¹² = 13434144097861 is a prime.

It is a super-2 number, since 2×13434144101957² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13434144104957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6717072050978 + 6717072050979.

It is an arithmetic number, because the mean of its divisors is an integer number (6717072050979).

Almost surely, 2^{13434144101957} is an apocalyptic number.

It is an amenable number.

13434144101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13434144101957 is an equidigital number, since it uses as much as digits as its factorization.

13434144101957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 13434144101957 in words is "thirteen trillion, four hundred thirty-four billion, one hundred forty-four million, one hundred one thousand, nine hundred fifty-seven".