101033133009 has 16 divisors (see below), whose sum is σ = 137228401344. Its totient is φ = 66101630400.

The previous prime is 101033132989. The next prime is 101033133049. The reversal of 101033133009 is 900331330101.

It is not a de Polignac number, because 101033133009 - 2¹³ = 101033124817 is a prime.

It is a super-2 number, since 2×101033133009² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101033133009.

It is not an unprimeable number, because it can be changed into a prime (101033133049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542062 + ... + 704199.

It is an arithmetic number, because the mean of its divisors is an integer number (8576775084).

Almost surely, 2^101033133009 is an apocalyptic number.

It is an amenable number.

101033133009 is a deficient number, since it is larger than the sum of its proper divisors (36195268335).

101033133009 is a wasteful number, since it uses less digits than its factorization.

101033133009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246768.

The product of its (nonzero) digits is 729, while the sum is 24.

The spelling of 101033133009 in words is "one hundred one billion, thirty-three million, one hundred thirty-three thousand, nine".