101331102013101 has 24 divisors (see below), whose sum is σ = 151788698565504. Its totient is φ = 67553825117760.

The previous prime is 101331102013091. The next prime is 101331102013129. The reversal of 101331102013101 is 101310201133101.

101331102013101 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 1 + 0 + 20 + 1 + 310 + 1 = 666.

It is not a de Polignac number, because 101331102013101 - 2¹⁴ = 101331101996717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331102013201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89072860 + ... + 90203306.

It is an arithmetic number, because the mean of its divisors is an integer number (6324529106896).

Almost surely, 2^{101331102013101} is an apocalyptic number.

It is an amenable number.

101331102013101 is a deficient number, since it is larger than the sum of its proper divisors (50457596552403).

101331102013101 is an equidigital number, since it uses as much as digits as its factorization.

101331102013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499343 (or 1499331 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101331102013101 its reverse (101310201133101), we get a palindrome (202641303146202).

The spelling of 101331102013101 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred two million, thirteen thousand, one hundred one".