311132011 has 16 divisors (see below), whose sum is σ = 351682560. Its totient is φ = 273490560.

The previous prime is 311131991. The next prime is 311132021. The reversal of 311132011 is 110231113.

It is not a de Polignac number, because 311132011 - 2⁵ = 311131979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311131982 and 311132000.

It is not an unprimeable number, because it can be changed into a prime (311132021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16150 + ... + 29716.

It is an arithmetic number, because the mean of its divisors is an integer number (21980160).

Almost surely, 2^311132011 is an apocalyptic number.

311132011 is a deficient number, since it is larger than the sum of its proper divisors (40550549).

311132011 is a wasteful number, since it uses less digits than its factorization.

311132011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 311132011 is about 17638.9345199760. The cubic root of 311132011 is about 677.6127441351.

Adding to 311132011 its reverse (110231113), we get a palindrome (421363124).

It can be divided in two parts, 31113 and 2011, that added together give a square (33124 = 182²).

The spelling of 311132011 in words is "three hundred eleven million, one hundred thirty-two thousand, eleven".