1000011312 has 40 divisors (see below), whose sum is σ = 2870404080. Its totient is φ = 333336960.

The previous prime is 1000011301. The next prime is 1000011317. The reversal of 1000011312 is 2131100001.

It is a super-2 number, since 2×1000011312² = 2000045248255922688, which contains 22 as substring.

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 = 1000011294 and 1000011303.

It is not an unprimeable number, because it can be changed into a prime (1000011317) 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, 1156989 + ... + 1157852.

It is an arithmetic number, because the mean of its divisors is an integer number (71760102).

Almost surely, 2^1000011312 is an apocalyptic number.

1000011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000011312 is an abundant number, since it is smaller than the sum of its proper divisors (1870392768).

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

1000011312 is a wasteful number, since it uses less digits than its factorization.

1000011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314858 (or 2314846 counting only the distinct ones).

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

The square root of 1000011312 is about 31622.9554596024. The cubic root of 1000011312 is about 1000.0037706524.

Adding to 1000011312 its reverse (2131100001), we get a palindrome (3131111313).

It can be divided in two parts, 10000 and 11312, that added together give a palindrome (21312).

The spelling of 1000011312 in words is "one billion, eleven thousand, three hundred twelve".