312313002300 has 432 divisors, whose sum is σ = 1082631644640. Its totient is φ = 74815488000.

The previous prime is 312313002289. The next prime is 312313002361. The reversal of 312313002300 is 3200313213.

312313002300 is a `hidden beast` number, since 31 + 2 + 31 + 300 + 2 + 300 = 666.

It is a super-2 number, since 2×312313002300² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 354497860 + ... + 354498740.

It is an arithmetic number, because the mean of its divisors is an integer number (2506091770).

Almost surely, 2^312313002300 is an apocalyptic number.

312313002300 is a gapful number since it is divisible by the number (30) 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 312313002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541315822320).

312313002300 is an abundant number, since it is smaller than the sum of its proper divisors (770318642340).

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

312313002300 is a wasteful number, since it uses less digits than its factorization.

312313002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312313002300 its reverse (3200313213), we get a palindrome (315513315513).

The spelling of 312313002300 in words is "three hundred twelve billion, three hundred thirteen million, two thousand, three hundred".