131032110001 has 12 divisors (see below), whose sum is σ = 142022292300. Its totient is φ = 120837250560.

The previous prime is 131032109981. The next prime is 131032110031. The reversal of 131032110001 is 100011230131.

It can be written as a sum of positive squares in 6 ways, for example, as 7656250000 + 123375860001 = 87500^2 + 351249^2 .

It is not a de Polignac number, because 131032110001 - 2⁹ = 131032109489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131032110031) 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 11 ways as a sum of consecutive naturals, for example, 192280 + ... + 546841.

It is an arithmetic number, because the mean of its divisors is an integer number (11835191025).

Almost surely, 2^131032110001 is an apocalyptic number.

It is an amenable number.

131032110001 is a deficient number, since it is larger than the sum of its proper divisors (10990182299).

131032110001 is a wasteful number, since it uses less digits than its factorization.

131032110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740196 (or 740183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131032110001 its reverse (100011230131), we get a palindrome (231043340132).

The spelling of 131032110001 in words is "one hundred thirty-one billion, thirty-two million, one hundred ten thousand, one".