1000113123321 has 24 divisors (see below), whose sum is σ = 1555914554376. Its totient is φ = 615381822720.

The previous prime is 1000113123319. The next prime is 1000113123323. The reversal of 1000113123321 is 1233213110001.

1000113123321 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 312 + 332 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1000113123319) and next prime (1000113123323).

It can be written as a sum of positive squares in 4 ways, for example, as 163025367696 + 837087755625 = 403764^2 + 914925^2 .

It is not a de Polignac number, because 1000113123321 - 2¹ = 1000113123319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000113123294 and 1000113123303.

It is not an unprimeable number, because it can be changed into a prime (1000113123323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504501 + ... + 1501581.

It is an arithmetic number, because the mean of its divisors is an integer number (64829773099).

Almost surely, 2^{1000113123321} is an apocalyptic number.

It is an amenable number.

1000113123321 is a deficient number, since it is larger than the sum of its proper divisors (555801431055).

1000113123321 is a wasteful number, since it uses less digits than its factorization.

1000113123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005673 (or 1005670 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1000113123321 its reverse (1233213110001), we get a palindrome (2233326233322).

The spelling of 1000113123321 in words is "one trillion, one hundred thirteen million, one hundred twenty-three thousand, three hundred twenty-one".