1131001001 has 8 divisors (see below), whose sum is σ = 1223323080. Its totient is φ = 1039439232.

The previous prime is 1131000989. The next prime is 1131001013. The reversal of 1131001001 is 1001001311.

It is an interprime number because it is at equal distance from previous prime (1131000989) and next prime (1131001013).

It can be written as a sum of positive squares in 4 ways, for example, as 299255401 + 831745600 = 17299^2 + 28840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1131001001 - 2¹⁰ = 1130999977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131001001.

It is not an unprimeable number, because it can be changed into a prime (1131001601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186980 + ... + 192933.

It is an arithmetic number, because the mean of its divisors is an integer number (152915385).

Almost surely, 2^1131001001 is an apocalyptic number.

It is an amenable number.

1131001001 is a deficient number, since it is larger than the sum of its proper divisors (92322079).

1131001001 is a wasteful number, since it uses less digits than its factorization.

1131001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380155.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1131001001 is about 33630.3583239905. The cubic root of 1131001001 is about 1041.8879049598.

Adding to 1131001001 its reverse (1001001311), we get a palindrome (2132002312).

The spelling of 1131001001 in words is "one billion, one hundred thirty-one million, one thousand, one".