101326314352241 has 16 divisors (see below), whose sum is σ = 112259595479040. Its totient is φ = 90686720089680.

The previous prime is 101326314352229. The next prime is 101326314352253. The reversal of 101326314352241 is 142253413623101.

It is an interprime number because it is at equal distance from previous prime (101326314352229) and next prime (101326314352253).

It is not a de Polignac number, because 101326314352241 - 2⁴² = 96928267841137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101326314352195 and 101326314352204.

It is not an unprimeable number, because it can be changed into a prime (101326314352261) 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, 167711501 + ... + 168314586.

It is an arithmetic number, because the mean of its divisors is an integer number (7016224717440).

Almost surely, 2^{101326314352241} is an apocalyptic number.

101326314352241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101326314352241 is a deficient number, since it is larger than the sum of its proper divisors (10933281126799).

101326314352241 is a wasteful number, since it uses less digits than its factorization.

101326314352241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336026524.

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 101326314352241 its reverse (142253413623101), we get a palindrome (243579727975342).

The spelling of 101326314352241 in words is "one hundred one trillion, three hundred twenty-six billion, three hundred fourteen million, three hundred fifty-two thousand, two hundred forty-one".