13005751003740 has 192 divisors, whose sum is σ = 44338675691520. Its totient is φ = 3138770407680.

The previous prime is 13005751003733. The next prime is 13005751003757. The reversal of 13005751003740 is 4730015750031.

13005751003740 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 575 + 10 + 0 + 3 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13005751003695 and 13005751003704.

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, 3584619 + ... + 6233858.

It is an arithmetic number, because the mean of its divisors is an integer number (230930602560).

Almost surely, 2^{13005751003740} is an apocalyptic number.

13005751003740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005751003740 is an abundant number, since it is smaller than the sum of its proper divisors (31332924687780).

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

13005751003740 is a wasteful number, since it uses less digits than its factorization.

13005751003740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818729 (or 9818721 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Adding to 13005751003740 its reverse (4730015750031), we get a palindrome (17735766753771).

The spelling of 13005751003740 in words is "thirteen trillion, five billion, seven hundred fifty-one million, three thousand, seven hundred forty".