1013131040 has 96 divisors (see below), whose sum is σ = 2505368880. Its totient is φ = 386740224.

The previous prime is 1013130971. The next prime is 1013131073. The reversal of 1013131040 is 401313101.

It can be written as a sum of positive squares in 8 ways, for example, as 674129296 + 339001744 = 25964^2 + 18412^2 .

It is a super-2 number, since 2×1013131040² = 2052869008422963200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 312146 + ... + 315374.

Almost surely, 2^1013131040 is an apocalyptic number.

1013131040 is a gapful number since it is divisible by the number (10) 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 1013131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252684440).

1013131040 is an abundant number, since it is smaller than the sum of its proper divisors (1492237840).

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

1013131040 is a wasteful number, since it uses less digits than its factorization.

1013131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1013131040 is about 31829.7194458261. The cubic root of 1013131040 is about 1004.3579936356.

Adding to 1013131040 its reverse (401313101), we get a palindrome (1414444141).

The spelling of 1013131040 in words is "one billion, thirteen million, one hundred thirty-one thousand, forty".