13101340140 has 336 divisors, whose sum is σ = 47538050112. Its totient is φ = 2969561088.

The previous prime is 13101340127. The next prime is 13101340151. The reversal of 13101340140 is 4104310131.

13101340140 is a `hidden beast` number, since 1 + 310 + 1 + 340 + 14 + 0 = 666.

It is a super-2 number, since 2×13101340140² (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13981752 + ... + 13982688.

It is an arithmetic number, because the mean of its divisors is an integer number (141482292).

Almost surely, 2^13101340140 is an apocalyptic number.

13101340140 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 13101340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769025056).

13101340140 is an abundant number, since it is smaller than the sum of its proper divisors (34436709972).

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

13101340140 is a wasteful number, since it uses less digits than its factorization.

13101340140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101340140 its reverse (4104310131), we get a palindrome (17205650271).

The spelling of 13101340140 in words is "thirteen billion, one hundred one million, three hundred forty thousand, one hundred forty".