101132033 has 2 divisors, whose sum is σ = 101132034. Its totient is φ = 101132032.

The previous prime is 101131993. The next prime is 101132039. The reversal of 101132033 is 330231101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51739249 + 49392784 = 7193^2 + 7028^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132033 - 2⁶ = 101131969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101131999 and 101132017.

It is not a weakly prime, because it can be changed into another prime (101132039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566016 + 50566017.

It is an arithmetic number, because the mean of its divisors is an integer number (50566017).

Almost surely, 2^101132033 is an apocalyptic number.

It is an amenable number.

101132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132033 is an equidigital number, since it uses as much as digits as its factorization.

101132033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 101132033 is about 10056.4423629830. The cubic root of 101132033 is about 465.9037927592.

Adding to 101132033 its reverse (330231101), we get a palindrome (431363134).

The spelling of 101132033 in words is "one hundred one million, one hundred thirty-two thousand, thirty-three".