813188101 has 16 divisors (see below), whose sum is σ = 928791360. Its totient is φ = 705147520.

The previous prime is 813188059. The next prime is 813188113. The reversal of 813188101 is 101881318.

It is not a de Polignac number, because 813188101 - 2¹³ = 813179909 is a prime.

It is a super-2 number, since 2×813188101² = 1322549775215972402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813188141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11121 + ... + 41833.

It is an arithmetic number, because the mean of its divisors is an integer number (58049460).

Almost surely, 2^813188101 is an apocalyptic number.

It is an amenable number.

813188101 is a deficient number, since it is larger than the sum of its proper divisors (115603259).

813188101 is a wasteful number, since it uses less digits than its factorization.

813188101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30836.

The product of its (nonzero) digits is 1536, while the sum is 31.

The square root of 813188101 is about 28516.4531630426. The cubic root of 813188101 is about 933.3911348415.

The spelling of 813188101 in words is "eight hundred thirteen million, one hundred eighty-eight thousand, one hundred one".