1313221002012 has 432 divisors, whose sum is σ = 3715777447200. Its totient is φ = 390470492160.

The previous prime is 1313221001971. The next prime is 1313221002013. The reversal of 1313221002012 is 2102001223131.

1313221002012 is a `hidden beast` number, since 131 + 322 + 10 + 0 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313221002013) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7255364562 + ... + 7255364742.

Almost surely, 2^{1313221002012} is an apocalyptic number.

1313221002012 is a gapful number since it is divisible by the number (12) 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 1313221002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857888723600).

1313221002012 is an abundant number, since it is smaller than the sum of its proper divisors (2402556445188).

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

1313221002012 is a wasteful number, since it uses less digits than its factorization.

1313221002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1313221002012 its reverse (2102001223131), we get a palindrome (3415222225143).

The spelling of 1313221002012 in words is "one trillion, three hundred thirteen billion, two hundred twenty-one million, two thousand, twelve".