2031013013 has 2 divisors, whose sum is σ = 2031013014. Its totient is φ = 2031013012.

The previous prime is 2031012989. The next prime is 2031013027. The reversal of 2031013013 is 3103101302.

It is an a-pointer prime, because the next prime (2031013027) can be obtained adding 2031013013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1395620164 + 635392849 = 37358^2 + 25207^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031013013 - 2⁸ = 2031012757 is a prime.

It is a super-4 number, since 4×2031013013⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2031013093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015506506 + 1015506507.

It is an arithmetic number, because the mean of its divisors is an integer number (1015506507).

Almost surely, 2^2031013013 is an apocalyptic number.

It is an amenable number.

2031013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031013013 is an equidigital number, since it uses as much as digits as its factorization.

2031013013 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 2031013013 is about 45066.7617319017. The cubic root of 2031013013 is about 1266.4000004273.

Adding to 2031013013 its reverse (3103101302), we get a palindrome (5134114315).

The spelling of 2031013013 in words is "two billion, thirty-one million, thirteen thousand, thirteen".