1000031113 has 2 divisors, whose sum is σ = 1000031114. Its totient is φ = 1000031112.

The previous prime is 1000031063. The next prime is 1000031117. The reversal of 1000031113 is 3111300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 545829769 + 454201344 = 23363^2 + 21312^2 .

It is an emirp because it is prime and its reverse (3111300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000031113 - 2⁹ = 1000030601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000031113.

It is not a weakly prime, because it can be changed into another prime (1000031117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500015556 + 500015557.

It is an arithmetic number, because the mean of its divisors is an integer number (500015557).

Almost surely, 2^1000031113 is an apocalyptic number.

It is an amenable number.

1000031113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000031113 is an equidigital number, since it uses as much as digits as its factorization.

1000031113 is an evil number, because the sum of its binary digits is even.

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

The square root of 1000031113 is about 31623.2685375816. The cubic root of 1000031113 is about 1000.0103708924.

Adding to 1000031113 its reverse (3111300001), we get a palindrome (4111331114).

The spelling of 1000031113 in words is "one billion, thirty-one thousand, one hundred thirteen".