100101320133 has 64 divisors (see below), whose sum is σ = 149824733184. Its totient is φ = 59145984000.

The previous prime is 100101320129. The next prime is 100101320141. The reversal of 100101320133 is 331023101001.

It is not a de Polignac number, because 100101320133 - 2² = 100101320129 is a prime.

It is a super-2 number, since 2×100101320133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101320173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27936060 + ... + 27939642.

It is an arithmetic number, because the mean of its divisors is an integer number (2341011456).

Almost surely, 2^100101320133 is an apocalyptic number.

It is an amenable number.

100101320133 is a deficient number, since it is larger than the sum of its proper divisors (49723413051).

100101320133 is a wasteful number, since it uses less digits than its factorization.

100101320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100101320133 its reverse (331023101001), we get a palindrome (431124421134).

The spelling of 100101320133 in words is "one hundred billion, one hundred one million, three hundred twenty thousand, one hundred thirty-three".