1001312001 has 6 divisors (see below), whose sum is σ = 1446339570. Its totient is φ = 667541328.

The previous prime is 1001311973. The next prime is 1001312009. The reversal of 1001312001 is 1002131001.

It can be written as a sum of positive squares in only one way, i.e., 849431025 + 151880976 = 29145^2 + 12324^2 .

It is not a de Polignac number, because 1001312001 - 2⁹ = 1001311489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111256889 = 1001312001 / (1 + 0 + 0 + 1 + 3 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1001312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55628436 + ... + 55628453.

It is an arithmetic number, because the mean of its divisors is an integer number (241056595).

Almost surely, 2^1001312001 is an apocalyptic number.

It is an amenable number.

1001312001 is a deficient number, since it is larger than the sum of its proper divisors (445027569).

1001312001 is a wasteful number, since it uses less digits than its factorization.

1001312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111256895 (or 111256892 counting only the distinct ones).

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

The square root of 1001312001 is about 31643.5143591858. The cubic root of 1001312001 is about 1000.4371425452.

Adding to 1001312001 its reverse (1002131001), we get a palindrome (2003443002).

The spelling of 1001312001 in words is "one billion, one million, three hundred twelve thousand, one".