101011231312 has 80 divisors (see below), whose sum is σ = 211061937600. Its totient is φ = 46656276480.

The previous prime is 101011231291. The next prime is 101011231313. The reversal of 101011231312 is 213132110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011231313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11084614 + ... + 11093722.

It is an arithmetic number, because the mean of its divisors is an integer number (2638274220).

Almost surely, 2^101011231312 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 101011231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105530968800).

101011231312 is an abundant number, since it is smaller than the sum of its proper divisors (110050706288).

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

101011231312 is a wasteful number, since it uses less digits than its factorization.

101011231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101011231312 its reverse (213132110101), we get a palindrome (314143341413).

The spelling of 101011231312 in words is "one hundred one billion, eleven million, two hundred thirty-one thousand, three hundred twelve".