1000312330320 has 60 divisors (see below), whose sum is σ = 3359382245076. Its totient is φ = 266749954560.

The previous prime is 1000312330289. The next prime is 1000312330349. The reversal of 1000312330320 is 230332130001.

1000312330320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 12 + 330 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122553205776 + 877759124544 = 350076^2 + 936888^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 1000312330293 and 1000312330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694660621 + ... + 694662060.

Almost surely, 2^{1000312330320} is an apocalyptic number.

1000312330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000312330320 is an abundant number, since it is smaller than the sum of its proper divisors (2359069914756).

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

1000312330320 is a wasteful number, since it uses less digits than its factorization.

1000312330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389322700 (or 1389322691 counting only the distinct ones).

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

Adding to 1000312330320 its reverse (230332130001), we get a palindrome (1230644460321).

The spelling of 1000312330320 in words is "one trillion, three hundred twelve million, three hundred thirty thousand, three hundred twenty".