310312002000 has 1920 divisors, whose sum is σ = 1401141321216. Its totient is φ = 58544640000.

The previous prime is 310312001947. The next prime is 310312002017. The reversal of 310312002000 is 200213013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5087081970 + ... + 5087082030.

Almost surely, 2^310312002000 is an apocalyptic number.

310312002000 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 310312002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700570660608).

310312002000 is an abundant number, since it is smaller than the sum of its proper divisors (1090829319216).

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

310312002000 is a wasteful number, since it uses less digits than its factorization.

310312002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 310312002000 its reverse (200213013), we get a palindrome (310512215013).

The spelling of 310312002000 in words is "three hundred ten billion, three hundred twelve million, two thousand".