1001031012 has 18 divisors (see below), whose sum is σ = 2530384038. Its totient is φ = 333676992.

The previous prime is 1001031011. The next prime is 1001031029. The reversal of 1001031012 is 2101301001.

1001031012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 997549056 + 3481956 = 31584^2 + 1866^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 1001030985 and 1001031003.

It is not an unprimeable number, because it can be changed into a prime (1001031011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13903173 + ... + 13903244.

It is an arithmetic number, because the mean of its divisors is an integer number (140576891).

Almost surely, 2^1001031012 is an apocalyptic number.

1001031012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001031012 is an abundant number, since it is smaller than the sum of its proper divisors (1529353026).

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

1001031012 is a wasteful number, since it uses less digits than its factorization.

1001031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806427 (or 27806422 counting only the distinct ones).

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

The square root of 1001031012 is about 31639.0741331032. The cubic root of 1001031012 is about 1000.3435526247.

Adding to 1001031012 its reverse (2101301001), we get a palindrome (3102332013).

The spelling of 1001031012 in words is "one billion, one million, thirty-one thousand, twelve".