10131131012112 has 180 divisors, whose sum is σ = 31254289766700. Its totient is φ = 3061241187840.

The previous prime is 10131131012069. The next prime is 10131131012117. The reversal of 10131131012112 is 21121013113101.

10131131012112 is a `hidden beast` number, since 10 + 1 + 311 + 310 + 1 + 21 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5102701495056 + 5028429517056 = 2258916^2 + 2242416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10131131012117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5247958 + ... + 6913994.

Almost surely, 2^{10131131012112} is an apocalyptic number.

10131131012112 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 10131131012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15627144883350).

10131131012112 is an abundant number, since it is smaller than the sum of its proper divisors (21123158754588).

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

10131131012112 is a wasteful number, since it uses less digits than its factorization.

10131131012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666422 (or 1666402 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10131131012112 its reverse (21121013113101), we get a palindrome (31252144125213).

The spelling of 10131131012112 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-one million, twelve thousand, one hundred twelve".