33121310013 has 24 divisors (see below), whose sum is σ = 52272423840. Its totient is φ = 20042264160.

The previous prime is 33121309951. The next prime is 33121310021. The reversal of 33121310013 is 31001312133.

It is a happy number.

33121310013 is a `hidden beast` number, since 331 + 21 + 310 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 33121310013 - 2¹⁰ = 33121308989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121310513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196498 + ... + 323811.

It is an arithmetic number, because the mean of its divisors is an integer number (2178017660).

Almost surely, 2^33121310013 is an apocalyptic number.

33121310013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33121310013 is a deficient number, since it is larger than the sum of its proper divisors (19151113827).

33121310013 is a wasteful number, since it uses less digits than its factorization.

33121310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520969 (or 520966 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33121310013 its reverse (31001312133), we get a palindrome (64122622146).

The spelling of 33121310013 in words is "thirty-three billion, one hundred twenty-one million, three hundred ten thousand, thirteen".