1313213331312 has 60 divisors (see below), whose sum is σ = 3675461301304. Its totient is φ = 437703488640.

The previous prime is 1313213331293. The next prime is 1313213331317. The reversal of 1313213331312 is 2131333123131.

1313213331312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 13 + 331 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313213331317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1521762 + ... + 2223102.

Almost surely, 2^{1313213331312} is an apocalyptic number.

1313213331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313213331312 is an abundant number, since it is smaller than the sum of its proper divisors (2362247969992).

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

1313213331312 is a wasteful number, since it uses less digits than its factorization.

1313213331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714358 (or 714349 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1313213331312 its reverse (2131333123131), we get a palindrome (3444546454443).

The spelling of 1313213331312 in words is "one trillion, three hundred thirteen billion, two hundred thirteen million, three hundred thirty-one thousand, three hundred twelve".