1310342400 has 216 divisors, whose sum is σ = 4805525760. Its totient is φ = 349378560.

The previous prime is 1310342399. The next prime is 1310342401. The reversal of 1310342400 is 42430131.

It is an interprime number because it is at equal distance from previous prime (1310342399) and next prime (1310342401).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310342401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169009 + ... + 176591.

Almost surely, 2^1310342400 is an apocalyptic number.

1310342400 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 1310342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402762880).

1310342400 is an abundant number, since it is smaller than the sum of its proper divisors (3495183360).

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

1310342400 is an equidigital number, since it uses as much as digits as its factorization.

1310342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7593 counting only the distinct ones).

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

The square root of 1310342400 is about 36198.6519086001. The cubic root of 1310342400 is about 1094.2795035079.

Adding to 1310342400 its reverse (42430131), we get a palindrome (1352772531).

The spelling of 1310342400 in words is "one billion, three hundred ten million, three hundred forty-two thousand, four hundred".