1310397262800 has 120 divisors (see below), whose sum is σ = 4201483912224. Its totient is φ = 349119214080.

The previous prime is 1310397262789. The next prime is 1310397262831. The reversal of 1310397262800 is 82627930131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812059 + ... + 1811141.

Almost surely, 2^{1310397262800} is an apocalyptic number.

1310397262800 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 1310397262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100741956112).

1310397262800 is an abundant number, since it is smaller than the sum of its proper divisors (2891086649424).

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

1310397262800 is a wasteful number, since it uses less digits than its factorization.

1310397262800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000197 (or 1000186 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 1310397262800 in words is "one trillion, three hundred ten billion, three hundred ninety-seven million, two hundred sixty-two thousand, eight hundred".