1013114242140 has 1152 divisors, whose sum is σ = 4129385702400. Its totient is φ = 181799976960.

The previous prime is 1013114242103. The next prime is 1013114242141. The reversal of 1013114242140 is 412424113101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013114242140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013114242141) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1636694751 + ... + 1636695369.

It is an arithmetic number, because the mean of its divisors is an integer number (3584536200).

Almost surely, 2^{1013114242140} is an apocalyptic number.

1013114242140 is a gapful number since it is divisible by the number (10) 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 1013114242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064692851200).

1013114242140 is an abundant number, since it is smaller than the sum of its proper divisors (3116271460260).

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

1013114242140 is a wasteful number, since it uses less digits than its factorization.

1013114242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1013114242140 its reverse (412424113101), we get a palindrome (1425538355241).

The spelling of 1013114242140 in words is "one trillion, thirteen billion, one hundred fourteen million, two hundred forty-two thousand, one hundred forty".