1001613312 has 216 divisors, whose sum is σ = 3368178450. Its totient is φ = 285917184.

The previous prime is 1001613311. The next prime is 1001613331. The reversal of 1001613312 is 2133161001.

It can be written as a sum of positive squares in only one way, i.e., 997549056 + 4064256 = 31584^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001613311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902614 + ... + 903722.

Almost surely, 2^1001613312 is an apocalyptic number.

1001613312 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 1001613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684089225).

1001613312 is an abundant number, since it is smaller than the sum of its proper divisors (2366565138).

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

1001613312 is a wasteful number, since it uses less digits than its factorization.

1001613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1121 counting only the distinct ones).

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

The square root of 1001613312 is about 31648.2750240831. The cubic root of 1001613312 is about 1000.5374817283.

Adding to 1001613312 its reverse (2133161001), we get a palindrome (3134774313).

The spelling of 1001613312 in words is "one billion, one million, six hundred thirteen thousand, three hundred twelve".