312013013 has 8 divisors (see below), whose sum is σ = 339479448. Its totient is φ = 285041664.

The previous prime is 312012991. The next prime is 312013033. The reversal of 312013013 is 310310213.

It can be written as a sum of positive squares in 4 ways, for example, as 18130564 + 293882449 = 4258^2 + 17143^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312013013 - 2¹⁶ = 311947477 is a prime.

It is a Duffinian number.

312013013 is a modest number, since divided by 13013 gives 312 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312013033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122456 + ... + 124977.

It is an arithmetic number, because the mean of its divisors is an integer number (42434931).

Almost surely, 2^312013013 is an apocalyptic number.

It is an amenable number.

312013013 is a deficient number, since it is larger than the sum of its proper divisors (27466435).

312013013 is a wasteful number, since it uses less digits than its factorization.

312013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247543.

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

The square root of 312013013 is about 17663.8900868410. The cubic root of 312013013 is about 678.2517179236.

Adding to 312013013 its reverse (310310213), we get a palindrome (622323226).

The spelling of 312013013 in words is "three hundred twelve million, thirteen thousand, thirteen".