101030013333 has 12 divisors (see below), whose sum is σ = 146065771020. Its totient is φ = 67291713216.

The previous prime is 101030013307. The next prime is 101030013373. The reversal of 101030013333 is 333310030101.

101030013333 is a `hidden beast` number, since 10 + 10 + 300 + 13 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49238722404 + 51791290929 = 221898^2 + 227577^2 .

It is not a de Polignac number, because 101030013333 - 2²⁴ = 101013236117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030013373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5125368 + ... + 5145041.

It is an arithmetic number, because the mean of its divisors is an integer number (12172147585).

Almost surely, 2^101030013333 is an apocalyptic number.

It is an amenable number.

101030013333 is a deficient number, since it is larger than the sum of its proper divisors (45035757687).

101030013333 is a wasteful number, since it uses less digits than its factorization.

101030013333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271508 (or 10271505 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 101030013333 its reverse (333310030101), we get a palindrome (434340043434).

The spelling of 101030013333 in words is "one hundred one billion, thirty million, thirteen thousand, three hundred thirty-three".