1000131012 has 36 divisors (see below), whose sum is σ = 2676822876. Its totient is φ = 313766400.

The previous prime is 1000130983. The next prime is 1000131017. The reversal of 1000131012 is 2101310001.

It can be written as a sum of positive squares in 2 ways, for example, as 483296256 + 516834756 = 21984^2 + 22734^2 .

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 = 1000130985 and 1000131003.

It is not an unprimeable number, because it can be changed into a prime (1000131017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816489 + ... + 817712.

It is an arithmetic number, because the mean of its divisors is an integer number (74356191).

Almost surely, 2^1000131012 is an apocalyptic number.

1000131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000131012 is an abundant number, since it is smaller than the sum of its proper divisors (1676691864).

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

1000131012 is a wasteful number, since it uses less digits than its factorization.

1000131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634228 (or 1634223 counting only the distinct ones).

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

The square root of 1000131012 is about 31624.8480154451. The cubic root of 1000131012 is about 1000.0436687597.

Adding to 1000131012 its reverse (2101310001), we get a palindrome (3101441013).

It can be divided in two parts, 100013 and 1012, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 1000131012 in words is "one billion, one hundred thirty-one thousand, twelve".