813100008131 has 16 divisors (see below), whose sum is σ = 884329570944. Its totient is φ = 744658704384.

The previous prime is 813100008103. The next prime is 813100008137. The reversal of 813100008131 is 131800001318.

It is a cyclic number.

It is not a de Polignac number, because 813100008131 - 2¹⁰ = 813100007107 is a prime.

It is a super-2 number, since 2×813100008131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 813100008131.

It is not an unprimeable number, because it can be changed into a prime (813100008137) 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 15 ways as a sum of consecutive naturals, for example, 2802950 + ... + 3079403.

It is an arithmetic number, because the mean of its divisors is an integer number (55270598184).

Almost surely, 2^813100008131 is an apocalyptic number.

813100008131 is a deficient number, since it is larger than the sum of its proper divisors (71229562813).

813100008131 is a wasteful number, since it uses less digits than its factorization.

813100008131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882590.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 813100008131 its reverse (131800001318), we get a palindrome (944900009449).

It can be divided in two parts, 81310000 and 8131, that multiplied together give a square (661131610000 = 813100²).

The spelling of 813100008131 in words is "eight hundred thirteen billion, one hundred million, eight thousand, one hundred thirty-one".