311413000314113 has 8 divisors (see below), whose sum is σ = 328170049407936. Its totient is φ = 294924064006000.

The previous prime is 311413000314049. The next prime is 311413000314131.

311413000314113 is nontrivially palindromic in base 10.

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 311413000314113 - 2⁶ = 311413000314049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311413000314193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67028194043 + ... + 67028198688.

It is an arithmetic number, because the mean of its divisors is an integer number (41021256175992).

Almost surely, 2^{311413000314113} is an apocalyptic number.

It is an amenable number.

311413000314113 is a deficient number, since it is larger than the sum of its proper divisors (16757049093823).

311413000314113 is a wasteful number, since it uses less digits than its factorization.

311413000314113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134056392855.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 311413000 and 314113, that added together give a palindrome (311727113).

The spelling of 311413000314113 in words is "three hundred eleven trillion, four hundred thirteen billion, three hundred fourteen thousand, one hundred thirteen".