101135060541 has 8 divisors (see below), whose sum is σ = 149829719360. Its totient is φ = 67423373676.

The previous prime is 101135060497. The next prime is 101135060569. The reversal of 101135060541 is 145060531101.

101135060541 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 50 + 605 + 4 + 1 = 666.

It is not a de Polignac number, because 101135060541 - 2⁷ = 101135060413 is a prime.

It is a super-3 number, since 3×101135060541³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3745742983 = 101135060541 / (1 + 0 + 1 + 1 + 3 + 5 + 0 + 6 + 0 + 5 + 4 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101135065541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872871465 + ... + 1872871518.

It is an arithmetic number, because the mean of its divisors is an integer number (18728714920).

Almost surely, 2^101135060541 is an apocalyptic number.

It is an amenable number.

101135060541 is a deficient number, since it is larger than the sum of its proper divisors (48694658819).

101135060541 is an equidigital number, since it uses as much as digits as its factorization.

101135060541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745742992 (or 3745742986 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 101135060541 its reverse (145060531101), we get a palindrome (246195591642).

The spelling of 101135060541 in words is "one hundred one billion, one hundred thirty-five million, sixty thousand, five hundred forty-one".