101331021310103 has 16 divisors (see below), whose sum is σ = 115551667639296. Its totient is φ = 88029015098880.

The previous prime is 101331021310063. The next prime is 101331021310147. The reversal of 101331021310103 is 301013120133101.

It is a cyclic number.

It is not a de Polignac number, because 101331021310103 - 2¹⁶ = 101331021244567 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 (101331021313103) 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, 9707351 + ... + 17230632.

It is an arithmetic number, because the mean of its divisors is an integer number (7221979227456).

Almost surely, 2^{101331021310103} is an apocalyptic number.

101331021310103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101331021310103 is a deficient number, since it is larger than the sum of its proper divisors (14220646329193).

101331021310103 is a wasteful number, since it uses less digits than its factorization.

101331021310103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26955034.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101331021310103 its reverse (301013120133101), we get a palindrome (402344141443204).

The spelling of 101331021310103 in words is "one hundred one trillion, three hundred thirty-one billion, twenty-one million, three hundred ten thousand, one hundred three".