13101667848831 has 32 divisors (see below), whose sum is σ = 17676468633600. Its totient is φ = 8631260287200.

The previous prime is 13101667848821. The next prime is 13101667848877. The reversal of 13101667848831 is 13884876610131.

It is a de Polignac number, because none of the positive numbers 2^k-13101667848831 is a prime.

It is a super-2 number, since 2×13101667848831² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101667848821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440244130 + ... + 440273888.

It is an arithmetic number, because the mean of its divisors is an integer number (552389644800).

Almost surely, 2^{13101667848831} is an apocalyptic number.

13101667848831 is a deficient number, since it is larger than the sum of its proper divisors (4574800784769).

13101667848831 is a wasteful number, since it uses less digits than its factorization.

13101667848831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34779.

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 13101667848831 in words is "thirteen trillion, one hundred one billion, six hundred sixty-seven million, eight hundred forty-eight thousand, eight hundred thirty-one".