131002310010312 has 768 divisors, whose sum is σ = 409190273856000. Its totient is φ = 37555462619136.

The previous prime is 131002310010307. The next prime is 131002310010359. The reversal of 131002310010312 is 213010013200131.

131002310010312 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 2 + 310 + 0 + 10 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 67771499298 + ... + 67771501230.

It is an arithmetic number, because the mean of its divisors is an integer number (532799835750).

Almost surely, 2^{131002310010312} is an apocalyptic number.

131002310010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131002310010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204595136928000).

131002310010312 is an abundant number, since it is smaller than the sum of its proper divisors (278187963845688).

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

131002310010312 is a wasteful number, since it uses less digits than its factorization.

131002310010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131002310010312 its reverse (213010013200131), we get a palindrome (344012323210443).

The spelling of 131002310010312 in words is "one hundred thirty-one trillion, two billion, three hundred ten million, ten thousand, three hundred twelve".