1010013031 has 2 divisors, whose sum is σ = 1010013032. Its totient is φ = 1010013030.

The previous prime is 1010012999. The next prime is 1010013041. The reversal of 1010013031 is 1303100101.

It is an a-pointer prime, because the next prime (1010013041) can be obtained adding 1010013031 to its sum of digits (10).

It is a strong prime.

It is an emirp because it is prime and its reverse (1303100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010013031 - 2⁵ = 1010012999 is a prime.

It is a super-2 number, since 2×1010013031² = 2040252645579613922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010012999 and 1010013017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505006515 + 505006516.

It is an arithmetic number, because the mean of its divisors is an integer number (505006516).

Almost surely, 2^1010013031 is an apocalyptic number.

1010013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010013031 is an equidigital number, since it uses as much as digits as its factorization.

1010013031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1010013031 is about 31780.7021791527. The cubic root of 1010013031 is about 1003.3265984716.

Adding to 1010013031 its reverse (1303100101), we get a palindrome (2313113132).

The spelling of 1010013031 in words is "one billion, ten million, thirteen thousand, thirty-one".