10131101112 has 96 divisors (see below), whose sum is σ = 29161313280. Its totient is φ = 2908422720.

The previous prime is 10131101089. The next prime is 10131101137. The reversal of 10131101112 is 21110113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 42153 + ... + 148455.

It is an arithmetic number, because the mean of its divisors is an integer number (303763680).

Almost surely, 2^10131101112 is an apocalyptic number.

10131101112 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 10131101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580656640).

10131101112 is an abundant number, since it is smaller than the sum of its proper divisors (19030212168).

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

10131101112 is a wasteful number, since it uses less digits than its factorization.

10131101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106361 (or 106338 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10131101112 its reverse (21110113101), we get a palindrome (31241214213).

The spelling of 10131101112 in words is "ten billion, one hundred thirty-one million, one hundred one thousand, one hundred twelve".