210133101010031 has 2 divisors, whose sum is σ = 210133101010032. Its totient is φ = 210133101010030.

The previous prime is 210133101009917. The next prime is 210133101010087. The reversal of 210133101010031 is 130010101331012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 210133101010031 - 2³⁴ = 210115921140847 is a prime.

It is a super-2 number, since 2×210133101010031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210133101009991 and 210133101010009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210133101010831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105066550505015 + 105066550505016.

It is an arithmetic number, because the mean of its divisors is an integer number (105066550505016).

Almost surely, 2^{210133101010031} is an apocalyptic number.

210133101010031 is a deficient number, since it is larger than the sum of its proper divisors (1).

210133101010031 is an equidigital number, since it uses as much as digits as its factorization.

210133101010031 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 17.

Adding to 210133101010031 its reverse (130010101331012), we get a palindrome (340143202341043).

The spelling of 210133101010031 in words is "two hundred ten trillion, one hundred thirty-three billion, one hundred one million, ten thousand, thirty-one".