131121222001001 has 8 divisors (see below), whose sum is σ = 132018876189000. Its totient is φ = 130223803093120.

The previous prime is 131121222000941. The next prime is 131121222001057. The reversal of 131121222001001 is 100100222121131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1865901360400 + 129255320640601 = 1365980^2 + 11369051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131121222001001 - 2¹⁴ = 131121221984617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131121222001061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57701546 + ... + 59930883.

It is an arithmetic number, because the mean of its divisors is an integer number (16502359523625).

Almost surely, 2^{131121222001001} is an apocalyptic number.

It is an amenable number.

131121222001001 is a deficient number, since it is larger than the sum of its proper divisors (897654187999).

131121222001001 is a wasteful number, since it uses less digits than its factorization.

131121222001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117640059.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131121222001001 its reverse (100100222121131), we get a palindrome (231221444122132).

The spelling of 131121222001001 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, one thousand, one".