13131011012112 has 240 divisors, whose sum is σ = 42861229062912. Its totient is φ = 3675313474560.

The previous prime is 13131011012047. The next prime is 13131011012137. The reversal of 13131011012112 is 21121011013131.

13131011012112 is a `hidden beast` number, since 1 + 31 + 310 + 110 + 1 + 211 + 2 = 666.

It is a super-2 number, since 2×13131011012112² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10651858 + ... + 11820494.

Almost surely, 2^{13131011012112} is an apocalyptic number.

13131011012112 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 13131011012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430614531456).

13131011012112 is an abundant number, since it is smaller than the sum of its proper divisors (29730218050800).

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

13131011012112 is a wasteful number, since it uses less digits than its factorization.

13131011012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168886 (or 1168877 counting only the distinct ones).

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

Adding to 13131011012112 its reverse (21121011013131), we get a palindrome (34252022025243).

The spelling of 13131011012112 in words is "thirteen trillion, one hundred thirty-one billion, eleven million, twelve thousand, one hundred twelve".