101300100033 has 32 divisors (see below), whose sum is σ = 147761141760. Its totient is φ = 61221101760.

The previous prime is 101300100001. The next prime is 101300100043. The reversal of 101300100033 is 330001003101.

It is not a de Polignac number, because 101300100033 - 2⁵ = 101300100001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101300099991 and 101300100018.

It is not an unprimeable number, because it can be changed into a prime (101300100043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23951563 + ... + 23955791.

It is an arithmetic number, because the mean of its divisors is an integer number (4617535680).

Almost surely, 2^101300100033 is an apocalyptic number.

It is an amenable number.

101300100033 is a deficient number, since it is larger than the sum of its proper divisors (46461041727).

101300100033 is a wasteful number, since it uses less digits than its factorization.

101300100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 101300100033 its reverse (330001003101), we get a palindrome (431301103134).

The spelling of 101300100033 in words is "one hundred one billion, three hundred million, one hundred thousand, thirty-three".