101131732129 has 2 divisors, whose sum is σ = 101131732130. Its totient is φ = 101131732128.

The previous prime is 101131732001. The next prime is 101131732139. The reversal of 101131732129 is 921237131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100648831504 + 482900625 = 317252^2 + 21975^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131732129 - 2⁷ = 101131732001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101131732129.

It is not a weakly prime, because it can be changed into another prime (101131732139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565866064 + 50565866065.

It is an arithmetic number, because the mean of its divisors is an integer number (50565866065).

Almost surely, 2^101131732129 is an apocalyptic number.

It is an amenable number.

101131732129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131732129 is an equidigital number, since it uses as much as digits as its factorization.

101131732129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 101131732129 in words is "one hundred one billion, one hundred thirty-one million, seven hundred thirty-two thousand, one hundred twenty-nine".