513313131 has 4 divisors (see below), whose sum is σ = 684417512. Its totient is φ = 342208752.

The previous prime is 513313093. The next prime is 513313183. The reversal of 513313131 is 131313315.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 513313131 - 2⁶ = 513313067 is a prime.

It is a super-3 number, since 3×513313131³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513313098 and 513313107.

It is not an unprimeable number, because it can be changed into a prime (513312131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85552186 + ... + 85552191.

It is an arithmetic number, because the mean of its divisors is an integer number (171104378).

Almost surely, 2^513313131 is an apocalyptic number.

513313131 is a deficient number, since it is larger than the sum of its proper divisors (171104381).

513313131 is a wasteful number, since it uses less digits than its factorization.

513313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171104380.

The product of its digits is 405, while the sum is 21.

The square root of 513313131 is about 22656.4147869869. The cubic root of 513313131 is about 800.6833385402.

Adding to 513313131 its reverse (131313315), we get a palindrome (644626446).

The spelling of 513313131 in words is "five hundred thirteen million, three hundred thirteen thousand, one hundred thirty-one".