1000203112313 has 16 divisors (see below), whose sum is σ = 1055806955280. Its totient is φ = 946461542400.

The previous prime is 1000203112267. The next prime is 1000203112327. The reversal of 1000203112313 is 3132113020001.

It can be written as a sum of positive squares in 8 ways, for example, as 197768762944 + 802434349369 = 444712^2 + 895787^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000203112313 - 2¹² = 1000203108217 is a prime.

It is a super-2 number, since 2×1000203112313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000203112291 and 1000203112300.

It is not an unprimeable number, because it can be changed into a prime (1000203112813) 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 15 ways as a sum of consecutive naturals, for example, 2288768 + ... + 2690513.

It is an arithmetic number, because the mean of its divisors is an integer number (65987934705).

Almost surely, 2^{1000203112313} is an apocalyptic number.

It is an amenable number.

1000203112313 is a deficient number, since it is larger than the sum of its proper divisors (55603842967).

1000203112313 is an equidigital number, since it uses as much as digits as its factorization.

1000203112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979468.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1000203112313 its reverse (3132113020001), we get a palindrome (4132316132314).

The spelling of 1000203112313 in words is "one trillion, two hundred three million, one hundred twelve thousand, three hundred thirteen".