10031001133 has 2 divisors, whose sum is σ = 10031001134. Its totient is φ = 10031001132.

The previous prime is 10031001119. The next prime is 10031001157. The reversal of 10031001133 is 33110013001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9615371364 + 415629769 = 98058^2 + 20387^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031001133 - 2¹⁷ = 10030870061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015500566 + 5015500567.

It is an arithmetic number, because the mean of its divisors is an integer number (5015500567).

Almost surely, 2^10031001133 is an apocalyptic number.

It is an amenable number.

10031001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031001133 is an equidigital number, since it uses as much as digits as its factorization.

10031001133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10031001133 its reverse (33110013001), we get a palindrome (43141014134).

The spelling of 10031001133 in words is "ten billion, thirty-one million, one thousand, one hundred thirty-three".