1310424000 has 112 divisors (see below), whose sum is σ = 4327099296. Its totient is φ = 349440000.

The previous prime is 1310423987. The next prime is 1310424007. The reversal of 1310424000 is 4240131.

It is a super-2 number, since 2×1310424000² = 3434422119552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310424007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3301 + ... + 51300.

Almost surely, 2^1310424000 is an apocalyptic number.

1310424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163549648).

1310424000 is an abundant number, since it is smaller than the sum of its proper divisors (3016675296).

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

1310424000 is an equidigital number, since it uses as much as digits as its factorization.

1310424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54631 (or 54611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1310424000 is about 36199.7790048503. The cubic root of 1310424000 is about 1094.3022180172.

Adding to 1310424000 its reverse (4240131), we get a palindrome (1314664131).

The spelling of 1310424000 in words is "one billion, three hundred ten million, four hundred twenty-four thousand".