3132112013 has 2 divisors, whose sum is σ = 3132112014. Its totient is φ = 3132112012.

The previous prime is 3132112003. The next prime is 3132112021. The reversal of 3132112013 is 3102112313.

3132112013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3082803529 + 49308484 = 55523^2 + 7022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3132112013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3132111982 and 3132112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3132112003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566056006 + 1566056007.

It is an arithmetic number, because the mean of its divisors is an integer number (1566056007).

Almost surely, 2^3132112013 is an apocalyptic number.

It is an amenable number.

3132112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3132112013 is an equidigital number, since it uses as much as digits as its factorization.

3132112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3132112013 is about 55965.2750640967. The cubic root of 3132112013 is about 1463.1171302368.

Adding to 3132112013 its reverse (3102112313), we get a palindrome (6234224326).

It can be divided in two parts, 31321 and 12013, that added together give a palindrome (43334).

The spelling of 3132112013 in words is "three billion, one hundred thirty-two million, one hundred twelve thousand, thirteen".