1010403131013 has 24 divisors (see below), whose sum is σ = 1481926194840. Its totient is φ = 663268953600.

The previous prime is 1010403131009. The next prime is 1010403131039. The reversal of 1010403131013 is 3101313040101.

It can be written as a sum of positive squares in 4 ways, for example, as 649560238209 + 360842892804 = 805953^2 + 600702^2 .

It is not a de Polignac number, because 1010403131013 - 2² = 1010403131009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010403131093) 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 23 ways as a sum of consecutive naturals, for example, 884598 + ... + 1674311.

It is an arithmetic number, because the mean of its divisors is an integer number (61746924785).

Almost surely, 2^{1010403131013} is an apocalyptic number.

It is an amenable number.

1010403131013 is a deficient number, since it is larger than the sum of its proper divisors (471523063827).

1010403131013 is a wasteful number, since it uses less digits than its factorization.

1010403131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559589 (or 2559586 counting only the distinct ones).

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

Adding to 1010403131013 its reverse (3101313040101), we get a palindrome (4111716171114).

The spelling of 1010403131013 in words is "one trillion, ten billion, four hundred three million, one hundred thirty-one thousand, thirteen".