1013111314240 has 112 divisors (see below), whose sum is σ = 2449101308544. Its totient is φ = 399103846400.

The previous prime is 1013111314151. The next prime is 1013111314249. The reversal of 1013111314240 is 424131113101.

1013111314240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013111314240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013111314249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21355827 + ... + 21403213.

Almost surely, 2^{1013111314240} is an apocalyptic number.

1013111314240 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 1013111314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224550654272).

1013111314240 is an abundant number, since it is smaller than the sum of its proper divisors (1435989994304).

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

1013111314240 is an equidigital number, since it uses as much as digits as its factorization.

1013111314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48416 (or 48406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1013111314240 its reverse (424131113101), we get a palindrome (1437242427341).

The spelling of 1013111314240 in words is "one trillion, thirteen billion, one hundred eleven million, three hundred fourteen thousand, two hundred forty".