813643101 has 24 divisors (see below), whose sum is σ = 1227635136. Its totient is φ = 518305920.

The previous prime is 813643097. The next prime is 813643139. The reversal of 813643101 is 101346318.

813643101 is a `hidden beast` number, since 8 + 1 + 3 + 643 + 10 + 1 = 666.

It is not a de Polignac number, because 813643101 - 2² = 813643097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813643151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320206 + ... + 322736.

It is an arithmetic number, because the mean of its divisors is an integer number (51151464).

Almost surely, 2^813643101 is an apocalyptic number.

It is an amenable number.

813643101 is a deficient number, since it is larger than the sum of its proper divisors (413992035).

813643101 is a wasteful number, since it uses less digits than its factorization.

813643101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 813643101 is about 28524.4298978963. The cubic root of 813643101 is about 933.5651879630.

Adding to 813643101 its reverse (101346318), we get a palindrome (914989419).

The spelling of 813643101 in words is "eight hundred thirteen million, six hundred forty-three thousand, one hundred one".