10213123033031 has 2 divisors, whose sum is σ = 10213123033032. Its totient is φ = 10213123033030.

The previous prime is 10213123032997. The next prime is 10213123033033. The reversal of 10213123033031 is 13033032131201.

10213123033031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10213123033031 - 2¹⁸ = 10213122770887 is a prime.

It is a super-2 number, since 2×10213123033031² (a number of 27 digits) contains 22 as substring.

Together with 10213123033033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213123032988 and 10213123033006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213123033033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106561516515 + 5106561516516.

It is an arithmetic number, because the mean of its divisors is an integer number (5106561516516).

Almost surely, 2^{10213123033031} is an apocalyptic number.

10213123033031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213123033031 is an equidigital number, since it uses as much as digits as its factorization.

10213123033031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10213123033031 its reverse (13033032131201), we get a palindrome (23246155164232).

The spelling of 10213123033031 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-three million, thirty-three thousand, thirty-one".