1013112131112 has 96 divisors (see below), whose sum is σ = 2798348159880. Its totient is φ = 331033812480.

The previous prime is 1013112131099. The next prime is 1013112131149. The reversal of 1013112131112 is 2111312113101.

1013112131112 is a `hidden beast` number, since 10 + 1 + 311 + 21 + 311 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 815181459876 + 197930671236 = 902874^2 + 444894^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893218 + ... + 1680494.

Almost surely, 2^{1013112131112} is an apocalyptic number.

1013112131112 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 1013112131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399174079940).

1013112131112 is an abundant number, since it is smaller than the sum of its proper divisors (1785236028768).

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

1013112131112 is a wasteful number, since it uses less digits than its factorization.

1013112131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787643 (or 787636 counting only the distinct ones).

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

Adding to 1013112131112 its reverse (2111312113101), we get a palindrome (3124424244213).

The spelling of 1013112131112 in words is "one trillion, thirteen billion, one hundred twelve million, one hundred thirty-one thousand, one hundred twelve".