133948101 has 16 divisors (see below), whose sum is σ = 206096384. Its totient is φ = 75797424.

The previous prime is 133948099. The next prime is 133948123. The reversal of 133948101 is 101849331.

It is not a de Polignac number, because 133948101 - 2¹ = 133948099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133948141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28801 + ... + 33126.

It is an arithmetic number, because the mean of its divisors is an integer number (12881024).

Almost surely, 2^133948101 is an apocalyptic number.

It is an amenable number.

133948101 is a deficient number, since it is larger than the sum of its proper divisors (72148283).

133948101 is a wasteful number, since it uses less digits than its factorization.

133948101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62040.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 133948101 is about 11573.5949903217. The cubic root of 133948101 is about 511.6569217033.

The spelling of 133948101 in words is "one hundred thirty-three million, nine hundred forty-eight thousand, one hundred one".