101333141 has 32 divisors (see below), whose sum is σ = 136378368. Its totient is φ = 72990720.

The previous prime is 101333131. The next prime is 101333143. The reversal of 101333141 is 141333101.

It is a cyclic number.

It is not a de Polignac number, because 101333141 - 2¹⁴ = 101316757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46901 + ... + 49013.

It is an arithmetic number, because the mean of its divisors is an integer number (4261824).

Almost surely, 2^101333141 is an apocalyptic number.

It is an amenable number.

101333141 is a deficient number, since it is larger than the sum of its proper divisors (35045227).

101333141 is a wasteful number, since it uses less digits than its factorization.

101333141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 101333141 is about 10066.4363605002. The cubic root of 101333141 is about 466.2124155172.

Adding to 101333141 its reverse (141333101), we get a palindrome (242666242).

The spelling of 101333141 in words is "one hundred one million, three hundred thirty-three thousand, one hundred forty-one".