131023201001 has 16 divisors (see below), whose sum is σ = 168623075328. Its totient is φ = 98802579600.

The previous prime is 131023200943. The next prime is 131023201013. The reversal of 131023201001 is 100102320131.

It is a cyclic number.

It is not a de Polignac number, because 131023201001 - 2¹⁸ = 131022938857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131023201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27442775 + ... + 27447548.

It is an arithmetic number, because the mean of its divisors is an integer number (10538942208).

Almost surely, 2^131023201001 is an apocalyptic number.

131023201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131023201001 is a deficient number, since it is larger than the sum of its proper divisors (37599874327).

131023201001 is a wasteful number, since it uses less digits than its factorization.

131023201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54890372.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131023201001 its reverse (100102320131), we get a palindrome (231125521132).

The spelling of 131023201001 in words is "one hundred thirty-one billion, twenty-three million, two hundred one thousand, one".