101011010111013 has 8 divisors (see below), whose sum is σ = 134683147161376. Its totient is φ = 67339773234000.

The previous prime is 101011010110973. The next prime is 101011010111017. The reversal of 101011010111013 is 310111010110101.

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

It is not a de Polignac number, because 101011010111013 - 2⁶ = 101011010110949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011010111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011010111017) 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, 224781463 + ... + 225230388.

It is an arithmetic number, because the mean of its divisors is an integer number (16835393395172).

Almost surely, 2^{101011010111013} is an apocalyptic number.

It is an amenable number.

101011010111013 is a deficient number, since it is larger than the sum of its proper divisors (33672137050363).

101011010111013 is an equidigital number, since it uses as much as digits as its factorization.

101011010111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450086675.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 101011010111013 its reverse (310111010110101), we get a palindrome (411122020221114).

The spelling of 101011010111013 in words is "one hundred one trillion, eleven billion, ten million, one hundred eleven thousand, thirteen".