103131132001 has 4 divisors (see below), whose sum is σ = 103131780100. Its totient is φ = 103130483904.

The previous prime is 103131131977. The next prime is 103131132029. The reversal of 103131132001 is 100231131301.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100231131301 = 7 ⋅14318733043.

It can be written as a sum of positive squares in 2 ways, for example, as 2292494400 + 100838637601 = 47880^2 + 317551^2 .

It is a cyclic number.

It is not a de Polignac number, because 103131132001 - 2⁵ = 103131131969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103131132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97045 + ... + 464413.

It is an arithmetic number, because the mean of its divisors is an integer number (25782945025).

Almost surely, 2^103131132001 is an apocalyptic number.

It is an amenable number.

103131132001 is a deficient number, since it is larger than the sum of its proper divisors (648099).

103131132001 is an equidigital number, since it uses as much as digits as its factorization.

103131132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648098.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103131132001 its reverse (100231131301), we get a palindrome (203362263302).

The spelling of 103131132001 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-two thousand, one".