1318380093800 has 288 divisors, whose sum is σ = 3893573473920. Its totient is φ = 410528563200.

The previous prime is 1318380093787. The next prime is 1318380093817. The reversal of 1318380093800 is 83900838131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124288097 + ... + 124298703.

It is an arithmetic number, because the mean of its divisors is an integer number (13519352340).

Almost surely, 2^{1318380093800} is an apocalyptic number.

1318380093800 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 1318380093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946786736960).

1318380093800 is an abundant number, since it is smaller than the sum of its proper divisors (2575193380120).

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

1318380093800 is a wasteful number, since it uses less digits than its factorization.

1318380093800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11801 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 1318380093800 in words is "one trillion, three hundred eighteen billion, three hundred eighty million, ninety-three thousand, eight hundred".