101131732001 has 2 divisors, whose sum is σ = 101131732002. Its totient is φ = 101131732000.

The previous prime is 101131731991. The next prime is 101131732129. The reversal of 101131732001 is 100237131101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100838637601 + 293094400 = 317551^2 + 17120^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131732001 - 2⁶ = 101131731937 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131732301) 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 as a sum of consecutive naturals, namely, 50565866000 + 50565866001.

It is an arithmetic number, because the mean of its divisors is an integer number (50565866001).

Almost surely, 2^101131732001 is an apocalyptic number.

It is an amenable number.

101131732001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131732001 is an equidigital number, since it uses as much as digits as its factorization.

101131732001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 101131732001 its reverse (100237131101), we get a palindrome (201368863102).

The spelling of 101131732001 in words is "one hundred one billion, one hundred thirty-one million, seven hundred thirty-two thousand, one".