1318874357100 has 288 divisors, whose sum is σ = 4009655365632. Its totient is φ = 334270080000.

The previous prime is 1318874357077. The next prime is 1318874357107. The reversal of 1318874357100 is 17534788131.

It is a self number, because there is not a number n which added to its sum of digits gives 1318874357100.

It is not an unprimeable number, because it can be changed into a prime (1318874357107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 503193790 + ... + 503196410.

It is an arithmetic number, because the mean of its divisors is an integer number (13922414464).

Almost surely, 2^{1318874357100} is an apocalyptic number.

1318874357100 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 1318874357100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004827682816).

1318874357100 is an abundant number, since it is smaller than the sum of its proper divisors (2690781008532).

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

1318874357100 is a wasteful number, since it uses less digits than its factorization.

1318874357100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 1318874357100 in words is "one trillion, three hundred eighteen billion, eight hundred seventy-four million, three hundred fifty-seven thousand, one hundred".