1013114112 has 72 divisors (see below), whose sum is σ = 2713238304. Its totient is φ = 335591424.

The previous prime is 1013114107. The next prime is 1013114117. The reversal of 1013114112 is 2114113101.

It is an interprime number because it is at equal distance from previous prime (1013114107) and next prime (1013114117).

It is a junction number, because it is equal to n+sod(n) for n = 1013114091 and 1013114100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013114117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121138 + ... + 129230.

Almost surely, 2^1013114112 is an apocalyptic number.

1013114112 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 1013114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356619152).

1013114112 is an abundant number, since it is smaller than the sum of its proper divisors (1700124192).

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

1013114112 is an equidigital number, since it uses as much as digits as its factorization.

1013114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1013114112 is about 31829.4535297105. The cubic root of 1013114112 is about 1004.3523997996.

Adding to 1013114112 its reverse (2114113101), we get a palindrome (3127227213).

The spelling of 1013114112 in words is "one billion, thirteen million, one hundred fourteen thousand, one hundred twelve".