13677066602001 has 24 divisors (see below), whose sum is σ = 21729854895840. Its totient is φ = 8289131266680.

The previous prime is 13677066601981. The next prime is 13677066602021. The reversal of 13677066602001 is 10020666077631.

It is an interprime number because it is at equal distance from previous prime (13677066601981) and next prime (13677066602021).

It is not a de Polignac number, because 13677066602001 - 2¹⁷ = 13677066470929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13677066602021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570864831 + ... + 570888788.

It is an arithmetic number, because the mean of its divisors is an integer number (905410620660).

Almost surely, 2^{13677066602001} is an apocalyptic number.

13677066602001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13677066602001 is a deficient number, since it is larger than the sum of its proper divisors (8052788293839).

13677066602001 is a wasteful number, since it uses less digits than its factorization.

13677066602001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141753658 (or 1141753633 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13677066602001 in words is "thirteen trillion, six hundred seventy-seven billion, sixty-six million, six hundred two thousand, one".