10100110020013 has 8 divisors (see below), whose sum is σ = 10878151259808. Its totient is φ = 9322227308784.

The previous prime is 10100110019981. The next prime is 10100110020029. The reversal of 10100110020013 is 31002001100101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100110020013 - 2⁵ = 10100110019981 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 (10100110020083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39499795 + ... + 39754672.

It is an arithmetic number, because the mean of its divisors is an integer number (1359768907476).

Almost surely, 2^{10100110020013} is an apocalyptic number.

10100110020013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100110020013 is a deficient number, since it is larger than the sum of its proper divisors (778041239795).

10100110020013 is an equidigital number, since it uses as much as digits as its factorization.

10100110020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79264283.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100110020013 its reverse (31002001100101), we get a palindrome (41102111120114).

The spelling of 10100110020013 in words is "ten trillion, one hundred billion, one hundred ten million, twenty thousand, thirteen".