101011100010013 has 8 divisors (see below), whose sum is σ = 101606741144000. Its totient is φ = 100416339353088.

The previous prime is 101011100009987. The next prime is 101011100010017. The reversal of 101011100010013 is 310010001110101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011100010013 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 (101011100010017) 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, 219889143 + ... + 220348036.

It is an arithmetic number, because the mean of its divisors is an integer number (12700842643000).

Almost surely, 2^{101011100010013} is an apocalyptic number.

It is an amenable number.

101011100010013 is a deficient number, since it is larger than the sum of its proper divisors (595641133987).

101011100010013 is a wasteful number, since it uses less digits than its factorization.

101011100010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440238531.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101011100010013 its reverse (310010001110101), we get a palindrome (411021101120114).

The spelling of 101011100010013 in words is "one hundred one trillion, eleven billion, one hundred million, ten thousand, thirteen".