10131002033 has 2 divisors, whose sum is σ = 10131002034. Its totient is φ = 10131002032.

The previous prime is 10131002009. The next prime is 10131002039. The reversal of 10131002033 is 33020013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8124678769 + 2006323264 = 90137^2 + 44792^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131002033 - 2¹⁸ = 10130739889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131001999 and 10131002017.

It is not a weakly prime, because it can be changed into another prime (10131002039) 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, 5065501016 + 5065501017.

It is an arithmetic number, because the mean of its divisors is an integer number (5065501017).

Almost surely, 2^10131002033 is an apocalyptic number.

It is an amenable number.

10131002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131002033 is an equidigital number, since it uses as much as digits as its factorization.

10131002033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10131002033 its reverse (33020013101), we get a palindrome (43151015134).

The spelling of 10131002033 in words is "ten billion, one hundred thirty-one million, two thousand, thirty-three".