312331131102130 has 48 divisors (see below), whose sum is σ = 654289174705176. Its totient is φ = 107034848928000.

The previous prime is 312331131102113. The next prime is 312331131102241. The reversal of 312331131102130 is 31201131133213.

It can be written as a sum of positive squares in 4 ways, for example, as 130190815594161 + 182140315507969 = 11410119^2 + 13495937^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312331131102095 and 312331131102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148089621 + ... + 150183880.

Almost surely, 2^{312331131102130} is an apocalyptic number.

312331131102130 is an abundant number, since it is smaller than the sum of its proper divisors (341958043603046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312331131102130 is a wasteful number, since it uses less digits than its factorization.

312331131102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298275659 (or 298275652 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 312331131102130 its reverse (31201131133213), we get a palindrome (343532262235343).

The spelling of 312331131102130 in words is "three hundred twelve trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand, one hundred thirty".