13132342042040 has 256 divisors, whose sum is σ = 33992696908800. Its totient is φ = 4528923033600.

The previous prime is 13132342041893. The next prime is 13132342042093. The reversal of 13132342042040 is 4024024323131.

It is a super-3 number, since 3×13132342042040³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 13132342041994 and 13132342042012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240628710 + ... + 2240634570.

It is an arithmetic number, because the mean of its divisors is an integer number (132783972300).

Almost surely, 2^{13132342042040} is an apocalyptic number.

13132342042040 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 13132342042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996348454400).

13132342042040 is an abundant number, since it is smaller than the sum of its proper divisors (20860354866760).

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

13132342042040 is a wasteful number, since it uses less digits than its factorization.

13132342042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10738 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13132342042040 its reverse (4024024323131), we get a palindrome (17156366365171).

The spelling of 13132342042040 in words is "thirteen trillion, one hundred thirty-two billion, three hundred forty-two million, forty-two thousand, forty".