131012320000031 has 8 divisors (see below), whose sum is σ = 131561045588160. Its totient is φ = 130463599053088.

The previous prime is 131012319999973. The next prime is 131012320000061. The reversal of 131012320000031 is 130000023210131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131012320000031 - 2⁴⁶ = 60643575822367 is a prime.

It is a super-2 number, since 2×131012320000031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131012319999964 and 131012320000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012320000061) 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 7 ways as a sum of consecutive naturals, for example, 62776025 + ... + 64829421.

It is an arithmetic number, because the mean of its divisors is an integer number (16445130698520).

Almost surely, 2^{131012320000031} is an apocalyptic number.

131012320000031 is a deficient number, since it is larger than the sum of its proper divisors (548725588129).

131012320000031 is a wasteful number, since it uses less digits than its factorization.

131012320000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320593.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131012320000031 its reverse (130000023210131), we get a palindrome (261012343210162).

The spelling of 131012320000031 in words is "one hundred thirty-one trillion, twelve billion, three hundred twenty million, thirty-one", and thus it is an aban number.