1101313122312 has 128 divisors (see below), whose sum is σ = 3061578240000. Its totient is φ = 327842622720.

The previous prime is 1101313122293. The next prime is 1101313122319. The reversal of 1101313122312 is 2132213131011.

It is a super-3 number, since 3×1101313122312³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101313122319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39631639 + ... + 39659417.

It is an arithmetic number, because the mean of its divisors is an integer number (23918580000).

Almost surely, 2^{1101313122312} is an apocalyptic number.

1101313122312 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 1101313122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530789120000).

1101313122312 is an abundant number, since it is smaller than the sum of its proper divisors (1960265117688).

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

1101313122312 is a wasteful number, since it uses less digits than its factorization.

1101313122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31931 (or 31927 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1101313122312 its reverse (2132213131011), we get a palindrome (3233526253323).

The spelling of 1101313122312 in words is "one trillion, one hundred one billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred twelve".