16314413263101 has 80 divisors (see below), whose sum is σ = 26181590662656. Its totient is φ = 10099106275104.

The previous prime is 16314413263087. The next prime is 16314413263111. The reversal of 16314413263101 is 10136231441361.

16314413263101 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 4 + 4 + 13 + 2 + 631 + 0 + 1 = 666.

It is not a de Polignac number, because 16314413263101 - 2¹⁴ = 16314413246717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16314413263111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12433066 + ... + 13682468.

Almost surely, 2^{16314413263101} is an apocalyptic number.

It is an amenable number.

16314413263101 is a deficient number, since it is larger than the sum of its proper divisors (9867177399555).

16314413263101 is a wasteful number, since it uses less digits than its factorization.

16314413263101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249644 (or 1249635 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16314413263101 in words is "sixteen trillion, three hundred fourteen billion, four hundred thirteen million, two hundred sixty-three thousand, one hundred one".