101132541 has 48 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 58544640.

The previous prime is 101132539. The next prime is 101132543. The reversal of 101132541 is 145231101.

101132541 is a `hidden beast` number, since 10 + 113 + 2 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (101132539) and next prime (101132543).

It is not a de Polignac number, because 101132541 - 2¹ = 101132539 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101556 + ... + 102546.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^101132541 is an apocalyptic number.

It is an amenable number.

101132541 is a deficient number, since it is larger than the sum of its proper divisors (65999619).

101132541 is a wasteful number, since it uses less digits than its factorization.

101132541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101132541 is about 10056.4676203924. The cubic root of 101132541 is about 465.9045728573.

Adding to 101132541 its reverse (145231101), we get a palindrome (246363642).

The spelling of 101132541 in words is "one hundred one million, one hundred thirty-two thousand, five hundred forty-one".