1010313003031 has 2 divisors, whose sum is σ = 1010313003032. Its totient is φ = 1010313003030.

The previous prime is 1010313002989. The next prime is 1010313003047. The reversal of 1010313003031 is 1303003130101.

It is an a-pointer prime, because the next prime (1010313003047) can be obtained adding 1010313003031 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1010313003031 - 2¹⁹ = 1010312478743 is a prime.

It is a super-2 number, since 2×1010313003031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010313002996 and 1010313003014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010313007031) 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, 505156501515 + 505156501516.

It is an arithmetic number, because the mean of its divisors is an integer number (505156501516).

Almost surely, 2^{1010313003031} is an apocalyptic number.

1010313003031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010313003031 is an equidigital number, since it uses as much as digits as its factorization.

1010313003031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1010313003031 its reverse (1303003130101), we get a palindrome (2313316133132).

The spelling of 1010313003031 in words is "one trillion, ten billion, three hundred thirteen million, three thousand, thirty-one".