230031131000031 has 24 divisors (see below), whose sum is σ = 333003110319360. Its totient is φ = 153014796484416.

The previous prime is 230031130999979. The next prime is 230031131000053. The reversal of 230031131000031 is 130000131130032.

It is a happy number.

It is not a de Polignac number, because 230031131000031 - 2¹³ = 230031130991839 is a prime.

It is a super-3 number, since 3×230031131000031³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 230031130999968 and 230031131000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230031131070031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7646896 + ... + 22771413.

It is an arithmetic number, because the mean of its divisors is an integer number (13875129596640).

Almost surely, 2^{230031131000031} is an apocalyptic number.

230031131000031 is a deficient number, since it is larger than the sum of its proper divisors (102971979319329).

230031131000031 is a wasteful number, since it uses less digits than its factorization.

230031131000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30420175 (or 30420172 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 230031131000031 its reverse (130000131130032), we get a palindrome (360031262130063).

The spelling of 230031131000031 in words is "two hundred thirty trillion, thirty-one billion, one hundred thirty-one million, thirty-one", and thus it is an aban number.