1000313133320 has 32 divisors (see below), whose sum is σ = 2263714418520. Its totient is φ = 397812387840.

The previous prime is 1000313133311. The next prime is 1000313133343. The reversal of 1000313133320 is 233313130001.

It can be written as a sum of positive squares in 4 ways, for example, as 995768485924 + 4544647396 = 997882^2 + 67414^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000313133292 and 1000313133301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72270041 + ... + 72283880.

Almost surely, 2^{1000313133320} is an apocalyptic number.

1000313133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000313133320 is an abundant number, since it is smaller than the sum of its proper divisors (1263401285200).

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

1000313133320 is a wasteful number, since it uses less digits than its factorization.

1000313133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144554105 (or 144554101 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1000313133320 its reverse (233313130001), we get a palindrome (1233626263321).

The spelling of 1000313133320 in words is "one trillion, three hundred thirteen million, one hundred thirty-three thousand, three hundred twenty".