131001033000442 has 32 divisors (see below), whose sum is σ = 219489084322560. Its totient is φ = 58129171903680.

The previous prime is 131001033000437. The next prime is 131001033000443. The reversal of 131001033000442 is 244000330100131.

It is a super-2 number, since 2×131001033000442² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131001033000443) 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 in 15 ways as a sum of consecutive naturals, for example, 162442833 + ... + 163247284.

It is an arithmetic number, because the mean of its divisors is an integer number (6859033885080).

Almost surely, 2^{131001033000442} is an apocalyptic number.

131001033000442 is a deficient number, since it is larger than the sum of its proper divisors (88488051322118).

131001033000442 is a wasteful number, since it uses less digits than its factorization.

131001033000442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325690566.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131001033000442 its reverse (244000330100131), we get a palindrome (375001363100573).

The spelling of 131001033000442 in words is "one hundred thirty-one trillion, one billion, thirty-three million, four hundred forty-two", and thus it is an aban number.