1311417513 has 64 divisors (see below), whose sum is σ = 2303078400. Its totient is φ = 721941120.

The previous prime is 1311417493. The next prime is 1311417517. The reversal of 1311417513 is 3157141131.

1311417513 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 7 + 513 = 666.

It is not a de Polignac number, because 1311417513 - 2⁸ = 1311417257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1311417517) 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, 642148 + ... + 644186.

It is an arithmetic number, because the mean of its divisors is an integer number (35985600).

Almost surely, 2^1311417513 is an apocalyptic number.

It is an amenable number.

1311417513 is a deficient number, since it is larger than the sum of its proper divisors (991660887).

1311417513 is a wasteful number, since it uses less digits than its factorization.

1311417513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1311417513 is about 36213.4990438648. The cubic root of 1311417513 is about 1094.5787007527.

Adding to 1311417513 its reverse (3157141131), we get a palindrome (4468558644).

The spelling of 1311417513 in words is "one billion, three hundred eleven million, four hundred seventeen thousand, five hundred thirteen".