1000113021312 has 64 divisors (see below), whose sum is σ = 2658946791600. Its totient is φ = 333070260224.

The previous prime is 1000113021311. The next prime is 1000113021331. The reversal of 1000113021312 is 2131203110001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1000113021291 and 1000113021300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000113021311) 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 7 ways as a sum of consecutive naturals, for example, 748383 + ... + 1600094.

Almost surely, 2^{1000113021312} is an apocalyptic number.

1000113021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000113021312 is an abundant number, since it is smaller than the sum of its proper divisors (1658833770288).

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

1000113021312 is a wasteful number, since it uses less digits than its factorization.

1000113021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349603 (or 2349591 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1000113021312 its reverse (2131203110001), we get a palindrome (3131316131313).

The spelling of 1000113021312 in words is "one trillion, one hundred thirteen million, twenty-one thousand, three hundred twelve".