1000112313321 has 48 divisors (see below), whose sum is σ = 1579336237440. Its totient is φ = 604821634560.

The previous prime is 1000112313293. The next prime is 1000112313323. The reversal of 1000112313321 is 1233132110001.

1000112313321 is a `hidden beast` number, since 100 + 0 + 1 + 1 + 231 + 332 + 1 = 666.

It is not a de Polignac number, because 1000112313321 - 2⁹ = 1000112312809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000112313294 and 1000112313303.

It is not an unprimeable number, because it can be changed into a prime (1000112313323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119497825 + ... + 119506193.

It is an arithmetic number, because the mean of its divisors is an integer number (32902838280).

Almost surely, 2^{1000112313321} is an apocalyptic number.

1000112313321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000112313321 is a deficient number, since it is larger than the sum of its proper divisors (579223924119).

1000112313321 is a wasteful number, since it uses less digits than its factorization.

1000112313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10843 counting only the distinct ones).

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

Adding to 1000112313321 its reverse (1233132110001), we get a palindrome (2233244423322).

The spelling of 1000112313321 in words is "one trillion, one hundred twelve million, three hundred thirteen thousand, three hundred twenty-one".