101331424133101 has 4 divisors (see below), whose sum is σ = 101331447918012. Its totient is φ = 101331400348192.

The previous prime is 101331424133081. The next prime is 101331424133113.

101331424133101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66175703174025 + 35155720959076 = 8134845^2 + 5929226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331424133101 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 101331424133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331424133701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3552346 + ... + 14672491.

It is an arithmetic number, because the mean of its divisors is an integer number (25332861979503).

Almost surely, 2^{101331424133101} is an apocalyptic number.

It is an amenable number.

101331424133101 is a deficient number, since it is larger than the sum of its proper divisors (23784911).

101331424133101 is an equidigital number, since it uses as much as digits as its factorization.

101331424133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784910.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 101331424133101 in words is "one hundred one trillion, three hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-three thousand, one hundred one".