1313311212312 has 256 divisors, whose sum is σ = 3746347891200. Its totient is φ = 383174668800.

The previous prime is 1313311212289. The next prime is 1313311212329. The reversal of 1313311212312 is 2132121133131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367769487 + ... + 367773057.

It is an arithmetic number, because the mean of its divisors is an integer number (14634171450).

Almost surely, 2^{1313311212312} is an apocalyptic number.

1313311212312 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 1313311212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873173945600).

1313311212312 is an abundant number, since it is smaller than the sum of its proper divisors (2433036678888).

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

1313311212312 is a wasteful number, since it uses less digits than its factorization.

1313311212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4013 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1313311212312 its reverse (2132121133131), we get a palindrome (3445432345443).

The spelling of 1313311212312 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, two hundred twelve thousand, three hundred twelve".