1030131013 has 2 divisors, whose sum is σ = 1030131014. Its totient is φ = 1030131012.

The previous prime is 1030131001. The next prime is 1030131041. The reversal of 1030131013 is 3101310301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 738643684 + 291487329 = 27178^2 + 17073^2 .

It is an emirp because it is prime and its reverse (3101310301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1030131013 - 2²¹ = 1028033861 is a prime.

It is a super-2 number, since 2×1030131013² = 2122339807888812338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030130984 and 1030131002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030131043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515065506 + 515065507.

It is an arithmetic number, because the mean of its divisors is an integer number (515065507).

Almost surely, 2^1030131013 is an apocalyptic number.

It is an amenable number.

1030131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030131013 is an equidigital number, since it uses as much as digits as its factorization.

1030131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1030131013 is about 32095.6541139139. The cubic root of 1030131013 is about 1009.9444510834.

Adding to 1030131013 its reverse (3101310301), we get a palindrome (4131441314).

It can be divided in two parts, 10301 and 31013, that multiplied together give a palindrome (319464913).

The spelling of 1030131013 in words is "one billion, thirty million, one hundred thirty-one thousand, thirteen".