101300232033 has 288 divisors, whose sum is σ = 205821487872. Its totient is φ = 46581350400.

The previous prime is 101300232017. The next prime is 101300232067. The reversal of 101300232033 is 330232003101.

101300232033 is a `hidden beast` number, since 10 + 1 + 300 + 2 + 320 + 33 = 666.

It is not a de Polignac number, because 101300232033 - 2⁴ = 101300232017 is a prime.

It is a super-3 number, since 3×101300232033³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101300231997 and 101300232015.

It is not an unprimeable number, because it can be changed into a prime (101300232013) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 420332793 + ... + 420333033.

It is an arithmetic number, because the mean of its divisors is an integer number (714657944).

Almost surely, 2^101300232033 is an apocalyptic number.

101300232033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101300232033 is an abundant number, since it is smaller than the sum of its proper divisors (104521255839).

101300232033 is a wasteful number, since it uses less digits than its factorization.

101300232033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101300232033 its reverse (330232003101), we get a palindrome (431532235134).

It can be divided in two parts, 101300 and 232033, that added together give a palindrome (333333).

The spelling of 101300232033 in words is "one hundred one billion, three hundred million, two hundred thirty-two thousand, thirty-three".