312002100330 has 128 divisors (see below), whose sum is σ = 794820556800. Its totient is φ = 78214498560.

The previous prime is 312002100317. The next prime is 312002100337. The reversal of 312002100330 is 33001200213.

It is a super-2 number, since 2×312002100330² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312002100337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71508729 + ... + 71513091.

It is an arithmetic number, because the mean of its divisors is an integer number (6209535600).

Almost surely, 2^312002100330 is an apocalyptic number.

312002100330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312002100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397410278400).

312002100330 is an abundant number, since it is smaller than the sum of its proper divisors (482818456470).

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

312002100330 is a wasteful number, since it uses less digits than its factorization.

312002100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 312002100330 its reverse (33001200213), we get a palindrome (345003300543).

The spelling of 312002100330 in words is "three hundred twelve billion, two million, one hundred thousand, three hundred thirty".