312130635342100 has 144 divisors (see below), whose sum is σ = 729760000495680. Its totient is φ = 115497552844800.

The previous prime is 312130635342077. The next prime is 312130635342139. The reversal of 312130635342100 is 1243536031213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288105420 + ... + 289186780.

It is an arithmetic number, because the mean of its divisors is an integer number (5067777781220).

Almost surely, 2^{312130635342100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312130635342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364880000247840).

312130635342100 is an abundant number, since it is smaller than the sum of its proper divisors (417629365153580).

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

312130635342100 is a wasteful number, since it uses less digits than its factorization.

312130635342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084970 (or 1084963 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 312130635342100 in words is "three hundred twelve trillion, one hundred thirty billion, six hundred thirty-five million, three hundred forty-two thousand, one hundred".