1006100061013 has 16 divisors (see below), whose sum is σ = 1029072582720. Its totient is φ = 983327731200.

The previous prime is 1006100061011. The next prime is 1006100061097. The reversal of 1006100061013 is 3101600016001.

It is a cyclic number.

It is not a de Polignac number, because 1006100061013 - 2¹ = 1006100061011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006100061011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51110533 + ... + 51130213.

It is an arithmetic number, because the mean of its divisors is an integer number (64317036420).

Almost surely, 2^{1006100061013} is an apocalyptic number.

It is an amenable number.

1006100061013 is a deficient number, since it is larger than the sum of its proper divisors (22972521707).

1006100061013 is a wasteful number, since it uses less digits than its factorization.

1006100061013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24708.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1006100061013 its reverse (3101600016001), we get a palindrome (4107700077014).

The spelling of 1006100061013 in words is "one trillion, six billion, one hundred million, sixty-one thousand, thirteen".