213588616131 has 48 divisors (see below), whose sum is σ = 361680778368. Its totient is φ = 120014611200.

The previous prime is 213588616123. The next prime is 213588616139. The reversal of 213588616131 is 131616885312.

213588616131 is a `hidden beast` number, since 2 + 1 + 3 + 588 + 6 + 1 + 61 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213588616123) and next prime (213588616139).

It is not a de Polignac number, because 213588616131 - 2³ = 213588616123 is a prime.

It is a super-2 number, since 2×213588616131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213588616139) 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, 834325 + ... + 1059846.

It is an arithmetic number, because the mean of its divisors is an integer number (7535016216).

Almost surely, 2^213588616131 is an apocalyptic number.

213588616131 is a deficient number, since it is larger than the sum of its proper divisors (148092162237).

213588616131 is a wasteful number, since it uses less digits than its factorization.

213588616131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894272 (or 1894269 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 213588616131 in words is "two hundred thirteen billion, five hundred eighty-eight million, six hundred sixteen thousand, one hundred thirty-one".