1313300131 has 16 divisors (see below), whose sum is σ = 1557335808. Its totient is φ = 1091757600.

The previous prime is 1313300123. The next prime is 1313300143. The reversal of 1313300131 is 1310033131.

It is a cyclic number.

It is not a de Polignac number, because 1313300131 - 2³ = 1313300123 is a prime.

It is a super-2 number, since 2×1313300131² = 3449514468169234322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313301131) 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, 27615 + ... + 58216.

It is an arithmetic number, because the mean of its divisors is an integer number (97333488).

Almost surely, 2^1313300131 is an apocalyptic number.

1313300131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313300131 is a deficient number, since it is larger than the sum of its proper divisors (244035677).

1313300131 is a wasteful number, since it uses less digits than its factorization.

1313300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85962.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1313300131 is about 36239.4830399110. The cubic root of 1313300131 is about 1095.1022279682.

Adding to 1313300131 its reverse (1310033131), we get a palindrome (2623333262).

The spelling of 1313300131 in words is "one billion, three hundred thirteen million, three hundred thousand, one hundred thirty-one".