131001033000437 has 2 divisors, whose sum is σ = 131001033000438. Its totient is φ = 131001033000436.

The previous prime is 131001033000433. The next prime is 131001033000443. The reversal of 131001033000437 is 734000330100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126664805666116 + 4336227334321 = 11254546^2 + 2082361^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001033000437 - 2² = 131001033000433 is a prime.

It is a super-2 number, since 2×131001033000437² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131001033000433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500516500218 + 65500516500219.

It is an arithmetic number, because the mean of its divisors is an integer number (65500516500219).

Almost surely, 2^{131001033000437} is an apocalyptic number.

It is an amenable number.

131001033000437 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001033000437 is an equidigital number, since it uses as much as digits as its factorization.

131001033000437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 131001033000437 its reverse (734000330100131), we get a palindrome (865001363100568).

The spelling of 131001033000437 in words is "one hundred thirty-one trillion, one billion, thirty-three million, four hundred thirty-seven", and thus it is an aban number.