1334124313002 has 144 divisors (see below), whose sum is σ = 3191957594280. Its totient is φ = 400334199552.

The previous prime is 1334124312943. The next prime is 1334124313019. The reversal of 1334124313002 is 2003134214331.

It is a happy number.

1334124313002 is a `hidden beast` number, since 1 + 3 + 341 + 2 + 4 + 313 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 558067267521 + 776057045481 = 747039^2 + 880941^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334448824 + ... + 334452812.

Almost surely, 2^{1334124313002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334124313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595978797140).

1334124313002 is an abundant number, since it is smaller than the sum of its proper divisors (1857833281278).

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

1334124313002 is a wasteful number, since it uses less digits than its factorization.

1334124313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4823 counting only the distinct ones).

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

Adding to 1334124313002 its reverse (2003134214331), we get a palindrome (3337258527333).

The spelling of 1334124313002 in words is "one trillion, three hundred thirty-four billion, one hundred twenty-four million, three hundred thirteen thousand, two".