1003011113 has 12 divisors (see below), whose sum is σ = 1094053788. Its totient is φ = 919077120.

The previous prime is 1003011091. The next prime is 1003011193. The reversal of 1003011113 is 3111103001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16297369 + 986713744 = 4037^2 + 31412^2 .

It is not a de Polignac number, because 1003011113 - 2¹⁸ = 1002748969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003011094 and 1003011103.

It is not an unprimeable number, because it can be changed into a prime (1003011193) 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, 1493 + ... + 44813.

It is an arithmetic number, because the mean of its divisors is an integer number (91171149).

Almost surely, 2^1003011113 is an apocalyptic number.

1003011113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003011113 is a deficient number, since it is larger than the sum of its proper divisors (91042675).

1003011113 is a wasteful number, since it uses less digits than its factorization.

1003011113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43484 (or 43471 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1003011113 is about 31670.3506927220. The cubic root of 1003011113 is about 1001.0026985928.

Adding to 1003011113 its reverse (3111103001), we get a palindrome (4114114114).

The spelling of 1003011113 in words is "one billion, three million, eleven thousand, one hundred thirteen".