311233121332113 has 64 divisors (see below), whose sum is σ = 449904901754880. Its totient is φ = 190710437299200.

The previous prime is 311233121332103. The next prime is 311233121332127.

311233121332113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311233121332113 - 2⁸ = 311233121331857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311233121332103) 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 63 ways as a sum of consecutive naturals, for example, 1096919881 + ... + 1097203577.

It is an arithmetic number, because the mean of its divisors is an integer number (7029764089920).

Almost surely, 2^{311233121332113} is an apocalyptic number.

It is an amenable number.

311233121332113 is a deficient number, since it is larger than the sum of its proper divisors (138671780422767).

311233121332113 is a wasteful number, since it uses less digits than its factorization.

311233121332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285238.

The product of its digits is 5832, while the sum is 30.

The spelling of 311233121332113 in words is "three hundred eleven trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred thirteen".