38721133040513 has 16 divisors (see below), whose sum is σ = 49302840858624. Its totient is φ = 29530347383760.

The previous prime is 38721133040509. The next prime is 38721133040519. The reversal of 38721133040513 is 31504033112783.

38721133040513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 38721133040513 - 2² = 38721133040509 is a prime.

It is a super-2 number, since 2×38721133040513² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38721133040519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5349696995 + ... + 5349704232.

It is an arithmetic number, because the mean of its divisors is an integer number (3081427553664).

Almost surely, 2^{38721133040513} is an apocalyptic number.

It is an amenable number.

38721133040513 is a deficient number, since it is larger than the sum of its proper divisors (10581707818111).

38721133040513 is a wasteful number, since it uses less digits than its factorization.

38721133040513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699401292.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 38721133040513 in words is "thirty-eight trillion, seven hundred twenty-one billion, one hundred thirty-three million, forty thousand, five hundred thirteen".