101310101312 has 84 divisors (see below), whose sum is σ = 235645781184. Its totient is φ = 43087000320.

The previous prime is 101310101309. The next prime is 101310101401. The reversal of 101310101312 is 213101013101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 11 ways as a sum of consecutive naturals, for example, 287513 + ... + 534119.

Almost surely, 2^101310101312 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 101310101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117822890592).

101310101312 is an abundant number, since it is smaller than the sum of its proper divisors (134335679872).

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

101310101312 is a wasteful number, since it uses less digits than its factorization.

101310101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246764 (or 246747 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101310101312 its reverse (213101013101), we get a palindrome (314411114413).

The spelling of 101310101312 in words is "one hundred one billion, three hundred ten million, one hundred one thousand, three hundred twelve".