313131 has 32 divisors (see below), whose sum is σ = 544768. Its totient is φ = 155520.

The previous prime is 313129. The next prime is 313133. The reversal of 313131 is 131313.

313131 = 143² + 144² + ... + 156².

It is an interprime number because it is at equal distance from previous prime (313129) and next prime (313133).

It is not a de Polignac number, because 313131 - 2¹ = 313129 is a prime.

It is a super-2 number, since 2×313131² = 196102046322, which contains 22 as substring.

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

313131 is an undulating number in base 10.

313131 is a modest number, since divided by 3131 gives 31 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313131.

It is not an unprimeable number, because it can be changed into a prime (313133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8445 + ... + 8481.

It is an arithmetic number, because the mean of its divisors is an integer number (17024).

2³¹³¹³¹ is an apocalyptic number.

313131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

313131 is a deficient number, since it is larger than the sum of its proper divisors (231637).

313131 is a wasteful number, since it uses less digits than its factorization.

313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its digits is 27, while the sum is 12.

The square root of 313131 is about 559.5810933189. The cubic root of 313131 is about 67.9060843077.

Adding to 313131 its reverse (131313), we get a palindrome (444444).

It can be divided in two parts, 313 and 131, that added together give a palindrome (444).

The spelling of 313131 in words is "three hundred thirteen thousand, one hundred thirty-one".