311024242420113 has 8 divisors (see below), whose sum is σ = 425907070701568. Its totient is φ = 201745454542704.

The previous prime is 311024242420109. The next prime is 311024242420117.

It is a happy number.

311024242420113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (311024242420109) and next prime (311024242420117).

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

It is not a de Polignac number, because 311024242420113 - 2² = 311024242420109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311024242420117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1401010100881 + ... + 1401010101102.

It is an arithmetic number, because the mean of its divisors is an integer number (53238383837696).

Almost surely, 2^{311024242420113} is an apocalyptic number.

It is an amenable number.

311024242420113 is a deficient number, since it is larger than the sum of its proper divisors (114882828281455).

311024242420113 is a wasteful number, since it uses less digits than its factorization.

311024242420113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802020202023.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 311024242420113 in words is "three hundred eleven trillion, twenty-four billion, two hundred forty-two million, four hundred twenty thousand, one hundred thirteen".