312413130131022 has 192 divisors, whose sum is σ = 727070269685760. Its totient is φ = 96713555577408.

The previous prime is 312413130130867. The next prime is 312413130131041. The reversal of 312413130131022 is 220131031314213.

312413130131022 is a `hidden beast` number, since 3 + 1 + 2 + 41 + 3 + 1 + 301 + 310 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2395318503 + ... + 2395448925.

It is an arithmetic number, because the mean of its divisors is an integer number (3786824321280).

Almost surely, 2^{312413130131022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312413130131022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363535134842880).

312413130131022 is an abundant number, since it is smaller than the sum of its proper divisors (414657139554738).

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

312413130131022 is a wasteful number, since it uses less digits than its factorization.

312413130131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131299 (or 131296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312413130131022 its reverse (220131031314213), we get a palindrome (532544161445235).

The spelling of 312413130131022 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred thirty million, one hundred thirty-one thousand, twenty-two".