1311104230400 has 132 divisors (see below), whose sum is σ = 3305038545840. Its totient is φ = 515552256000.

The previous prime is 1311104230357. The next prime is 1311104230441. The reversal of 1311104230400 is 40324011131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076375 + ... + 1944425.

Almost surely, 2^{1311104230400} is an apocalyptic number.

1311104230400 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 1311104230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652519272920).

1311104230400 is an abundant number, since it is smaller than the sum of its proper divisors (1993934315440).

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

1311104230400 is an equidigital number, since it uses as much as digits as its factorization.

1311104230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868140 (or 868117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1311104230400 its reverse (40324011131), we get a palindrome (1351428241531).

The spelling of 1311104230400 in words is "one trillion, three hundred eleven billion, one hundred four million, two hundred thirty thousand, four hundred".