1000013112 has 96 divisors (see below), whose sum is σ = 3108499680. Its totient is φ = 284497920.

The previous prime is 1000013107. The next prime is 1000013137. The reversal of 1000013112 is 2113100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000013094 and 1000013103.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 117348 + ... + 125580.

It is an arithmetic number, because the mean of its divisors is an integer number (32380205).

Almost surely, 2^1000013112 is an apocalyptic number.

1000013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554249840).

1000013112 is an abundant number, since it is smaller than the sum of its proper divisors (2108486568).

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

1000013112 is a wasteful number, since it uses less digits than its factorization.

1000013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000013112 is about 31622.9839199276. The cubic root of 1000013112 is about 1000.0043706476.

Adding to 1000013112 its reverse (2113100001), we get a palindrome (3113113113).

The spelling of 1000013112 in words is "one billion, thirteen thousand, one hundred twelve".