311414013 has 12 divisors (see below), whose sum is σ = 452422620. Its totient is φ = 206408256.

The previous prime is 311413987. The next prime is 311414021. The reversal of 311414013 is 310414113.

It can be written as a sum of positive squares in 2 ways, for example, as 149157369 + 162256644 = 12213^2 + 12738^2 .

It is not a de Polignac number, because 311414013 - 2¹³ = 311405821 is a prime.

311414013 is a modest number, since divided by 14013 gives 3114 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311414063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98448 + ... + 101561.

It is an arithmetic number, because the mean of its divisors is an integer number (37701885).

Almost surely, 2^311414013 is an apocalyptic number.

It is an amenable number.

311414013 is a deficient number, since it is larger than the sum of its proper divisors (141008607).

311414013 is a wasteful number, since it uses less digits than its factorization.

311414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200188 (or 200185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 311414013 is about 17646.9264462682. The cubic root of 311414013 is about 677.8174058638.

Adding to 311414013 its reverse (310414113), we get a palindrome (621828126).

The spelling of 311414013 in words is "three hundred eleven million, four hundred fourteen thousand, thirteen".