1310330445400 has 96 divisors (see below), whose sum is σ = 3135483691200. Its totient is φ = 509040387200.

The previous prime is 1310330445329. The next prime is 1310330445461. The reversal of 1310330445400 is 45440330131.

It is a super-2 number, since 2×1310330445400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310455 + ... + 1648345.

It is an arithmetic number, because the mean of its divisors is an integer number (32661288450).

Almost surely, 2^{1310330445400} is an apocalyptic number.

1310330445400 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 1310330445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567741845600).

1310330445400 is an abundant number, since it is smaller than the sum of its proper divisors (1825153245800).

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

1310330445400 is a wasteful number, since it uses less digits than its factorization.

1310330445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338049 (or 1338040 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1310330445400 its reverse (45440330131), we get a palindrome (1355770775531).

The spelling of 1310330445400 in words is "one trillion, three hundred ten billion, three hundred thirty million, four hundred forty-five thousand, four hundred".