101331010013201 has 4 divisors (see below), whose sum is σ = 101331032298804. Its totient is φ = 101330987727600.

The previous prime is 101331010013179. The next prime is 101331010013209. The reversal of 101331010013201 is 102310010133101.

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 66303563290000 + 35027446723201 = 8142700^2 + 5918399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331010013201 - 2³⁸ = 101056132106257 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 101331010013201.

It is not an unprimeable number, because it can be changed into a prime (101331010013209) 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, 1595870 + ... + 14325111.

It is an arithmetic number, because the mean of its divisors is an integer number (25332758074701).

Almost surely, 2^{101331010013201} is an apocalyptic number.

It is an amenable number.

101331010013201 is a deficient number, since it is larger than the sum of its proper divisors (22285603).

101331010013201 is an equidigital number, since it uses as much as digits as its factorization.

101331010013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285602.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101331010013201 its reverse (102310010133101), we get a palindrome (203641020146302).

The spelling of 101331010013201 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, thirteen thousand, two hundred one".