1310003424 has 72 divisors (see below), whose sum is σ = 3730158432. Its totient is φ = 436101120.

The previous prime is 1310003413. The next prime is 1310003437. The reversal of 1310003424 is 4243000131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1310003424² = 3432217941783447552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310003397 and 1310003406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259872 + ... + 264864.

It is an arithmetic number, because the mean of its divisors is an integer number (51807756).

Almost surely, 2^1310003424 is an apocalyptic number.

It is an amenable number.

1310003424 is an abundant number, since it is smaller than the sum of its proper divisors (2420155008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310003424 is a wasteful number, since it uses less digits than its factorization.

1310003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1310003424 is about 36193.9694424361. The cubic root of 1310003424 is about 1094.1851346672.

Adding to 1310003424 its reverse (4243000131), we get a palindrome (5553003555).

The spelling of 1310003424 in words is "one billion, three hundred ten million, three thousand, four hundred twenty-four".