1311104224100 has 216 divisors, whose sum is σ = 3220665947520. Its totient is φ = 462595795200.

The previous prime is 1311104224099. The next prime is 1311104224103. The reversal of 1311104224100 is 14224011131.

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

It is not an unprimeable number, because it can be changed into a prime (1311104224103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169674437 + ... + 169682163.

Almost surely, 2^{1311104224100} is an apocalyptic number.

1311104224100 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 1311104224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610332973760).

1311104224100 is an abundant number, since it is smaller than the sum of its proper divisors (1909561723420).

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

1311104224100 is a wasteful number, since it uses less digits than its factorization.

1311104224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8179 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1311104224100 its reverse (14224011131), we get a palindrome (1325328235231).

The spelling of 1311104224100 in words is "one trillion, three hundred eleven billion, one hundred four million, two hundred twenty-four thousand, one hundred".