8210137131 has 144 divisors (see below), whose sum is σ = 15245128800. Its totient is φ = 4352818176.

The previous prime is 8210137129. The next prime is 8210137147. The reversal of 8210137131 is 1317310128.

It is a happy number.

It is not a de Polignac number, because 8210137131 - 2¹ = 8210137129 is a prime.

It is a super-2 number, since 2×8210137131² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8210137095 and 8210137104.

It is not an unprimeable number, because it can be changed into a prime (8210137121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41675725 + ... + 41675921.

It is an arithmetic number, because the mean of its divisors is an integer number (105868950).

Almost surely, 2^8210137131 is an apocalyptic number.

8210137131 is a deficient number, since it is larger than the sum of its proper divisors (7034991669).

8210137131 is a wasteful number, since it uses less digits than its factorization.

8210137131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8210137131 is about 90609.8070354418. The cubic root of 8210137131 is about 2017.3603015444.

Adding to 8210137131 its reverse (1317310128), we get a palindrome (9527447259).

The spelling of 8210137131 in words is "eight billion, two hundred ten million, one hundred thirty-seven thousand, one hundred thirty-one".