1313014131 has 40 divisors (see below), whose sum is σ = 2304341424. Its totient is φ = 734546880.

The previous prime is 1313014123. The next prime is 1313014141. The reversal of 1313014131 is 1314103131.

It is not a de Polignac number, because 1313014131 - 2³ = 1313014123 is a prime.

It is a super-2 number, since 2×1313014131² = 3448012216411370322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313014141) 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 39 ways as a sum of consecutive naturals, for example, 45096 + ... + 68261.

Almost surely, 2^1313014131 is an apocalyptic number.

1313014131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313014131 is a deficient number, since it is larger than the sum of its proper divisors (991327293).

1313014131 is a wasteful number, since it uses less digits than its factorization.

1313014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113393 (or 113384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1313014131 is about 36235.5368526534. The cubic root of 1313014131 is about 1095.0227279951.

Adding to 1313014131 its reverse (1314103131), we get a palindrome (2627117262).

It can be divided in two parts, 13130 and 14131, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 1313014131 in words is "one billion, three hundred thirteen million, fourteen thousand, one hundred thirty-one".