311133311133 has 32 divisors (see below), whose sum is σ = 430471784832. Its totient is φ = 199726560000.

The previous prime is 311133311117. The next prime is 311133311147. The reversal of 311133311133 is 331113331113.

It is not a de Polignac number, because 311133311133 - 2⁴ = 311133311117 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311133311183) 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 31 ways as a sum of consecutive naturals, for example, 31419483 + ... + 31429383.

It is an arithmetic number, because the mean of its divisors is an integer number (13452243276).

Almost surely, 2^311133311133 is an apocalyptic number.

It is an amenable number.

311133311133 is a deficient number, since it is larger than the sum of its proper divisors (119338473699).

311133311133 is a wasteful number, since it uses less digits than its factorization.

311133311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845.

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

Adding to 311133311133 its reverse (331113331113), we get a palindrome (642246642246).

It can be divided in two parts, 31113331113 and 3, that multiplied together give a palindrome (93339993339).

The spelling of 311133311133 in words is "three hundred eleven billion, one hundred thirty-three million, three hundred eleven thousand, one hundred thirty-three".