312120013 has 2 divisors, whose sum is σ = 312120014. Its totient is φ = 312120012.

The previous prime is 312119993. The next prime is 312120023. The reversal of 312120013 is 310021213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262375204 + 49744809 = 16198^2 + 7053^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120013 - 2²¹ = 310022861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312119975 and 312120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312120023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060006 + 156060007.

It is an arithmetic number, because the mean of its divisors is an integer number (156060007).

Almost surely, 2^312120013 is an apocalyptic number.

It is an amenable number.

312120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120013 is an equidigital number, since it uses as much as digits as its factorization.

312120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312120013 is about 17666.9186051218. The cubic root of 312120013 is about 678.3292410144.

Adding to 312120013 its reverse (310021213), we get a palindrome (622141226).

It can be divided in two parts, 3121200 and 13, that added together give a palindrome (3121213).

The spelling of 312120013 in words is "three hundred twelve million, one hundred twenty thousand, thirteen".