13115110140 has 360 divisors, whose sum is σ = 47205275040. Its totient is φ = 3040139520.

The previous prime is 13115110049. The next prime is 13115110189. The reversal of 13115110140 is 4101151131.

13115110140 is a `hidden beast` number, since 1 + 3 + 11 + 511 + 0 + 140 = 666.

It is a super-2 number, since 2×13115110140² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4507006 + ... + 4509914.

It is an arithmetic number, because the mean of its divisors is an integer number (131125764).

Almost surely, 2^13115110140 is an apocalyptic number.

13115110140 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 13115110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23602637520).

13115110140 is an abundant number, since it is smaller than the sum of its proper divisors (34090164900).

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

13115110140 is a wasteful number, since it uses less digits than its factorization.

13115110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 13115110140 its reverse (4101151131), we get a palindrome (17216261271).

The spelling of 13115110140 in words is "thirteen billion, one hundred fifteen million, one hundred ten thousand, one hundred forty".