33100312013 has 8 divisors (see below), whose sum is σ = 33250651896. Its totient is φ = 32950080000.

The previous prime is 33100311973. The next prime is 33100312027. The reversal of 33100312013 is 31021300133.

It can be written as a sum of positive squares in 4 ways, for example, as 11951299684 + 21149012329 = 109322^2 + 145427^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33100312013 - 2⁶ = 33100311949 is a prime.

It is a super-2 number, since 2×33100312013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33100311982 and 33100312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33100317013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623513 + ... + 674513.

It is an arithmetic number, because the mean of its divisors is an integer number (4156331487).

Almost surely, 2^33100312013 is an apocalyptic number.

It is an amenable number.

33100312013 is a deficient number, since it is larger than the sum of its proper divisors (150339883).

33100312013 is a wasteful number, since it uses less digits than its factorization.

33100312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53935.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33100312013 its reverse (31021300133), we get a palindrome (64121612146).

The spelling of 33100312013 in words is "thirty-three billion, one hundred million, three hundred twelve thousand, thirteen".