4313677677101 has 48 divisors (see below), whose sum is σ = 4808503602000. Its totient is φ = 3846594232320.

The previous prime is 4313677677097. The next prime is 4313677677139. The reversal of 4313677677101 is 1017767763134.

It can be written as a sum of positive squares in 24 ways, for example, as 4207117867876 + 106559809225 = 2051126^2 + 326435^2 .

It is not a de Polignac number, because 4313677677101 - 2² = 4313677677097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4313677677601) 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 47 ways as a sum of consecutive naturals, for example, 1344241985 + ... + 1344245193.

It is an arithmetic number, because the mean of its divisors is an integer number (100177158375).

Almost surely, 2^{4313677677101} is an apocalyptic number.

4313677677101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4313677677101 is a deficient number, since it is larger than the sum of its proper divisors (494825924899).

4313677677101 is a wasteful number, since it uses less digits than its factorization.

4313677677101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 53.

The spelling of 4313677677101 in words is "four trillion, three hundred thirteen billion, six hundred seventy-seven million, six hundred seventy-seven thousand, one hundred one".