1313133130 has 16 divisors (see below), whose sum is σ = 2488042080. Its totient is φ = 497608272.

The previous prime is 1313133113. The next prime is 1313133131. The reversal of 1313133130 is 313313131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1313133098 and 1313133107.

It is not an unprimeable number, because it can be changed into a prime (1313133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455424 + ... + 3455803.

It is an arithmetic number, because the mean of its divisors is an integer number (155502630).

Almost surely, 2^1313133130 is an apocalyptic number.

1313133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313133130 is a deficient number, since it is larger than the sum of its proper divisors (1174908950).

1313133130 is a wasteful number, since it uses less digits than its factorization.

1313133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911253.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 1313133130 is about 36237.1788361070. The cubic root of 1313133130 is about 1095.0558077796.

Adding to 1313133130 its reverse (313313131), we get a palindrome (1626446261).

The spelling of 1313133130 in words is "one billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred thirty".