311213133 has 48 divisors (see below), whose sum is σ = 563097600. Its totient is φ = 160907040.

The previous prime is 311213131. The next prime is 311213137. The reversal of 311213133 is 331312113.

It is a happy number.

It is not a de Polignac number, because 311213133 - 2¹ = 311213131 is a prime.

It is a super-2 number, since 2×311213133² = 193707228303351378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311213131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164688 + ... + 166566.

It is an arithmetic number, because the mean of its divisors is an integer number (11731200).

Almost surely, 2^311213133 is an apocalyptic number.

311213133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311213133 is a deficient number, since it is larger than the sum of its proper divisors (251884467).

311213133 is a wasteful number, since it uses less digits than its factorization.

311213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2139 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 311213133 is about 17641.2338854174. The cubic root of 311213133 is about 677.6716307410.

Adding to 311213133 its reverse (331312113), we get a palindrome (642525246).

It can be divided in two parts, 311 and 213133, that added together give a square (213444 = 462²).

The spelling of 311213133 in words is "three hundred eleven million, two hundred thirteen thousand, one hundred thirty-three".