1313443131 has 64 divisors (see below), whose sum is σ = 2415092736. Its totient is φ = 612748800.

The previous prime is 1313443099. The next prime is 1313443141.

1313443131 is nontrivially palindromic in base 10.

1313443131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1313443131 - 2⁵ = 1313443099 is a prime.

It is a super-2 number, since 2×1313443131² = 3450265716742166322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313443141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105201 + ... + 117021.

It is an arithmetic number, because the mean of its divisors is an integer number (37735824).

Almost surely, 2^1313443131 is an apocalyptic number.

1313443131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313443131 is a deficient number, since it is larger than the sum of its proper divisors (1101649605).

1313443131 is a wasteful number, since it uses less digits than its factorization.

1313443131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892.

The product of its digits is 1296, while the sum is 24.

The square root of 1313443131 is about 36241.4559724082. The cubic root of 1313443131 is about 1095.1419736266.

It can be divided in two parts, 13134 and 43131, that added together give a palindrome (56265).

The spelling of 1313443131 in words is "one billion, three hundred thirteen million, four hundred forty-three thousand, one hundred thirty-one".