101314359247249 has 2 divisors, whose sum is σ = 101314359247250. Its totient is φ = 101314359247248.

The previous prime is 101314359247243. The next prime is 101314359247291. The reversal of 101314359247249 is 942742953413101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90894581838225 + 10419777409024 = 9533865^2 + 3227968^2 .

It is a cyclic number.

It is not a de Polignac number, because 101314359247249 - 2¹¹ = 101314359245201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101314359247249.

It is not a weakly prime, because it can be changed into another prime (101314359247243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50657179623624 + 50657179623625.

It is an arithmetic number, because the mean of its divisors is an integer number (50657179623625).

Almost surely, 2^{101314359247249} is an apocalyptic number.

It is an amenable number.

101314359247249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101314359247249 is an equidigital number, since it uses as much as digits as its factorization.

101314359247249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 101314359247249 in words is "one hundred one trillion, three hundred fourteen billion, three hundred fifty-nine million, two hundred forty-seven thousand, two hundred forty-nine".