311133113313 has 16 divisors (see below), whose sum is σ = 453179790336. Its totient is φ = 188306133840.

The previous prime is 311133113273. The next prime is 311133113321. The reversal of 311133113313 is 313311331113.

It is not a de Polignac number, because 311133113313 - 2¹⁰ = 311133112289 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311133113383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6460381 + ... + 6508362.

It is an arithmetic number, because the mean of its divisors is an integer number (28323736896).

Almost surely, 2^311133113313 is an apocalyptic number.

311133113313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311133113313 is a deficient number, since it is larger than the sum of its proper divisors (142046677023).

311133113313 is a wasteful number, since it uses less digits than its factorization.

311133113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969484.

The product of its digits is 729, while the sum is 24.

Adding to 311133113313 its reverse (313311331113), we get a palindrome (624444444426).

The spelling of 311133113313 in words is "three hundred eleven billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred thirteen".