10342166116311 has 64 divisors (see below), whose sum is σ = 15728407833600. Its totient is φ = 6712821101952.

The previous prime is 10342166116253. The next prime is 10342166116369. The reversal of 10342166116311 is 11361166124301.

10342166116311 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 1 + 6 + 6 + 11 + 631 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10342166116253) and next prime (10342166116369).

It is not a de Polignac number, because 10342166116311 - 2²³ = 10342157727703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342164116311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999914206 + ... + 999924548.

It is an arithmetic number, because the mean of its divisors is an integer number (245756372400).

Almost surely, 2^{10342166116311} is an apocalyptic number.

10342166116311 is a deficient number, since it is larger than the sum of its proper divisors (5386241717289).

10342166116311 is a wasteful number, since it uses less digits than its factorization.

10342166116311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10342166116311 in words is "ten trillion, three hundred forty-two billion, one hundred sixty-six million, one hundred sixteen thousand, three hundred eleven".