1413313131 has 16 divisors (see below), whose sum is σ = 1967328000. Its totient is φ = 900794400.

The previous prime is 1413313103. The next prime is 1413313159. The reversal of 1413313131 is 1313133141.

It is an interprime number because it is at equal distance from previous prime (1413313103) and next prime (1413313159).

It is not a de Polignac number, because 1413313131 - 2⁹ = 1413312619 is a prime.

It is a super-2 number, since 2×1413313131² = 3994908012514046322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1413313098 and 1413313107.

It is not an unprimeable number, because it can be changed into a prime (1413313631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185956 + ... + 193406.

It is an arithmetic number, because the mean of its divisors is an integer number (122958000).

Almost surely, 2^1413313131 is an apocalyptic number.

1413313131 is a deficient number, since it is larger than the sum of its proper divisors (554014869).

1413313131 is a wasteful number, since it uses less digits than its factorization.

1413313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226.

The product of its digits is 324, while the sum is 21.

The square root of 1413313131 is about 37594.0571234338. The cubic root of 1413313131 is about 1122.2237734474.

Adding to 1413313131 its reverse (1313133141), we get a palindrome (2726446272).

The spelling of 1413313131 in words is "one billion, four hundred thirteen million, three hundred thirteen thousand, one hundred thirty-one".