1031001012 has 36 divisors (see below), whose sum is σ = 2611008036. Its totient is φ = 343025280.

The previous prime is 1031000963. The next prime is 1031001019. The reversal of 1031001012 is 2101001301.

It can be written as a sum of positive squares in 2 ways, for example, as 576288036 + 454712976 = 24006^2 + 21324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1031000985 and 1031001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031001019) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6993 + ... + 45944.

It is an arithmetic number, because the mean of its divisors is an integer number (72528001).

Almost surely, 2^1031001012 is an apocalyptic number.

1031001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031001012 is an abundant number, since it is smaller than the sum of its proper divisors (1580007024).

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

1031001012 is a wasteful number, since it uses less digits than its factorization.

1031001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53488 (or 53483 counting only the distinct ones).

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

The square root of 1031001012 is about 32109.2044747297. The cubic root of 1031001012 is about 1010.2286878818.

Adding to 1031001012 its reverse (2101001301), we get a palindrome (3132002313).

The spelling of 1031001012 in words is "one billion, thirty-one million, one thousand, twelve".