131120330133301 has 8 divisors (see below), whose sum is σ = 131995864839384. Its totient is φ = 130247468816640.

The previous prime is 131120330133283. The next prime is 131120330133319. The reversal of 131120330133301 is 103331033021131.

It is an interprime number because it is at equal distance from previous prime (131120330133283) and next prime (131120330133319).

It can be written as a sum of positive squares in 4 ways, for example, as 4164562607076 + 126955767526225 = 2040726^2 + 11267465^2 .

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 131120330133301 - 2¹¹ = 131120330131253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120330133701) 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, 668248936 + ... + 668445121.

It is an arithmetic number, because the mean of its divisors is an integer number (16499483104923).

Almost surely, 2^{131120330133301} is an apocalyptic number.

It is an amenable number.

131120330133301 is a deficient number, since it is larger than the sum of its proper divisors (875534706083).

131120330133301 is a wasteful number, since it uses less digits than its factorization.

131120330133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336694711.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 131120330133301 its reverse (103331033021131), we get a palindrome (234451363154432).

The spelling of 131120330133301 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred thirty million, one hundred thirty-three thousand, three hundred one".