101333352241 has 27 divisors (see below), whose sum is σ = 114203173707. Its totient is φ = 89845176960.

The previous prime is 101333352233. The next prime is 101333352269. The reversal of 101333352241 is 142253333101.

The square root of 101333352241 is 318329.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33162231025 + 68171121216 = 182105^2 + 261096^2 .

It is not a de Polignac number, because 101333352241 - 2³ = 101333352233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101333352221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150569281 + ... + 150569953.

Almost surely, 2^101333352241 is an apocalyptic number.

101333352241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101333352241 is the 318329-th square number.

101333352241 is the 159165-th centered octagonal number.

It is an amenable number.

101333352241 is a deficient number, since it is larger than the sum of its proper divisors (12869821466).

101333352241 is an frugal number, since it uses more digits than its factorization.

101333352241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 101333352241 its reverse (142253333101), we get a palindrome (243586685342).

The spelling of 101333352241 in words is "one hundred one billion, three hundred thirty-three million, three hundred fifty-two thousand, two hundred forty-one".