1001007133 has 12 divisors (see below), whose sum is σ = 1183529532. Its totient is φ = 843937920.

The previous prime is 1001007113. The next prime is 1001007151. The reversal of 1001007133 is 3317001001.

It is a happy number.

1001007133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 164814244 + 836192889 = 12838^2 + 28917^2 .

It is not a de Polignac number, because 1001007133 - 2¹³ = 1000998941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001007103) 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, 164460 + ... + 170437.

It is an arithmetic number, because the mean of its divisors is an integer number (98627461).

Almost surely, 2^1001007133 is an apocalyptic number.

It is an amenable number.

1001007133 is a deficient number, since it is larger than the sum of its proper divisors (182522399).

1001007133 is an equidigital number, since it uses as much as digits as its factorization.

1001007133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334972 (or 334965 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 1001007133 is about 31638.6967651956. The cubic root of 1001007133 is about 1000.3355983611.

Adding to 1001007133 its reverse (3317001001), we get a palindrome (4318008134).

The spelling of 1001007133 in words is "one billion, one million, seven thousand, one hundred thirty-three".