6581993101101 has 16 divisors (see below), whose sum is σ = 10637564608320. Its totient is φ = 3989086727760.

The previous prime is 6581993101097. The next prime is 6581993101163. The reversal of 6581993101101 is 1011013991856.

It is a happy number.

6581993101101 is a `hidden beast` number, since 65 + 81 + 99 + 310 + 110 + 1 = 666.

It is not a de Polignac number, because 6581993101101 - 2² = 6581993101097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581993101171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11080796170 + ... + 11080796763.

It is an arithmetic number, because the mean of its divisors is an integer number (664847788020).

Almost surely, 2^{6581993101101} is an apocalyptic number.

It is an amenable number.

6581993101101 is a deficient number, since it is larger than the sum of its proper divisors (4055571507219).

6581993101101 is a wasteful number, since it uses less digits than its factorization.

6581993101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22161592953 (or 22161592947 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 6581993101101 in words is "six trillion, five hundred eighty-one billion, nine hundred ninety-three million, one hundred one thousand, one hundred one".