1313201102312 has 96 divisors (see below), whose sum is σ = 2741418093960. Its totient is φ = 589231104000.

The previous prime is 1313201102287. The next prime is 1313201102321. The reversal of 1313201102312 is 2132011023131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1301849052196 + 11352050116 = 1140986^2 + 106546^2 .

It is a super-2 number, since 2×1313201102312² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 32927888 + ... + 32967744.

Almost surely, 2^{1313201102312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313201102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370709046980).

1313201102312 is an abundant number, since it is smaller than the sum of its proper divisors (1428216991648).

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

1313201102312 is a wasteful number, since it uses less digits than its factorization.

1313201102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40323 (or 40308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1313201102312 its reverse (2132011023131), we get a palindrome (3445212125443).

It can be divided in two parts, 1 and 313201102312, that added together give a palindrome (313201102313).

The spelling of 1313201102312 in words is "one trillion, three hundred thirteen billion, two hundred one million, one hundred two thousand, three hundred twelve".