1003112001 has 18 divisors (see below), whose sum is σ = 1500637190. Its totient is φ = 645676416.

The previous prime is 1003111997. The next prime is 1003112003. The reversal of 1003112001 is 1002113001.

It can be written as a sum of positive squares in 3 ways, for example, as 121022001 + 882090000 = 11001^2 + 29700^2 .

It is not a de Polignac number, because 1003112001 - 2² = 1003111997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1003112003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58696 + ... + 73833.

Almost surely, 2^1003112001 is an apocalyptic number.

It is an amenable number.

1003112001 is a deficient number, since it is larger than the sum of its proper divisors (497525189).

1003112001 is a wasteful number, since it uses less digits than its factorization.

1003112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132593 (or 132561 counting only the distinct ones).

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

The square root of 1003112001 is about 31671.9434357919. The cubic root of 1003112001 is about 1001.0362594621.

Adding to 1003112001 its reverse (1002113001), we get a palindrome (2005225002).

The spelling of 1003112001 in words is "one billion, three million, one hundred twelve thousand, one".