312312312313300 has 144 divisors (see below), whose sum is σ = 734631898521472. Its totient is φ = 114560024716800.

The previous prime is 312312312313297. The next prime is 312312312313343. The reversal of 312312312313300 is 3313213213213.

It is a happy number.

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, 1147518235 + ... + 1147790365.

Almost surely, 2^{312312312313300} 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 312312312313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367315949260736).

312312312313300 is an abundant number, since it is smaller than the sum of its proper divisors (422319586208172).

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

312312312313300 is a wasteful number, since it uses less digits than its factorization.

312312312313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277938 (or 277931 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 312312312313300 its reverse (3313213213213), we get a palindrome (315625525526513).

The spelling of 312312312313300 in words is "three hundred twelve trillion, three hundred twelve billion, three hundred twelve million, three hundred thirteen thousand, three hundred".