1334313242100 has 216 divisors, whose sum is σ = 4202432777088. Its totient is φ = 354109708800.

The previous prime is 1334313242071. The next prime is 1334313242153. The reversal of 1334313242100 is 12423134331.

It is a happy number.

1334313242100 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 313 + 242 + 100 = 666.

It is a congruent number.

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, 267555807 + ... + 267560793.

Almost surely, 2^{1334313242100} is an apocalyptic number.

1334313242100 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 1334313242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101216388544).

1334313242100 is an abundant number, since it is smaller than the sum of its proper divisors (2868119534988).

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

1334313242100 is a wasteful number, since it uses less digits than its factorization.

1334313242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1334313242100 its reverse (12423134331), we get a palindrome (1346736376431).

The spelling of 1334313242100 in words is "one trillion, three hundred thirty-four billion, three hundred thirteen million, two hundred forty-two thousand, one hundred".