2013013031 has 2 divisors, whose sum is σ = 2013013032. Its totient is φ = 2013013030.

The previous prime is 2013013021. The next prime is 2013013043. The reversal of 2013013031 is 1303103102.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013013031 is a prime.

It is a super-2 number, since 2×2013013031² = 8104442925951613922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013012997 and 2013013015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013013001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006506515 + 1006506516.

It is an arithmetic number, because the mean of its divisors is an integer number (1006506516).

Almost surely, 2^2013013031 is an apocalyptic number.

2013013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013013031 is an equidigital number, since it uses as much as digits as its factorization.

2013013031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2013013031 is about 44866.6137679232. The cubic root of 2013013031 is about 1262.6477100123.

Adding to 2013013031 its reverse (1303103102), we get a palindrome (3316116133).

The spelling of 2013013031 in words is "two billion, thirteen million, thirteen thousand, thirty-one".