1312130100012 has 96 divisors (see below), whose sum is σ = 3310458950400. Its totient is φ = 403087249152.

The previous prime is 1312130099983. The next prime is 1312130100019. The reversal of 1312130100012 is 2100010312131.

It is a happy number.

It is a super-2 number, since 2×1312130100012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312130099964 and 1312130100000.

It is not an unprimeable number, because it can be changed into a prime (1312130100019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68262939 + ... + 68282157.

It is an arithmetic number, because the mean of its divisors is an integer number (34483947400).

Almost surely, 2^{1312130100012} is an apocalyptic number.

1312130100012 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 1312130100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655229475200).

1312130100012 is an abundant number, since it is smaller than the sum of its proper divisors (1998328850388).

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

1312130100012 is a wasteful number, since it uses less digits than its factorization.

1312130100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27375 (or 27373 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1312130100012 its reverse (2100010312131), we get a palindrome (3412140412143).

The spelling of 1312130100012 in words is "one trillion, three hundred twelve billion, one hundred thirty million, one hundred thousand, twelve".