210032121013 has 24 divisors (see below), whose sum is σ = 248703802200. Its totient is φ = 176191572480.

The previous prime is 210032121001. The next prime is 210032121029. The reversal of 210032121013 is 310121230012.

It can be written as a sum of positive squares in 4 ways, for example, as 52535848849 + 157496272164 = 229207^2 + 396858^2 .

It is a de Polignac number, because none of the positive numbers 2^k-210032121013 is a prime.

It is a super-3 number, since 3×210032121013³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210032121043) 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, 5026953 + ... + 5068561.

It is an arithmetic number, because the mean of its divisors is an integer number (10362658425).

Almost surely, 2^210032121013 is an apocalyptic number.

It is an amenable number.

210032121013 is a deficient number, since it is larger than the sum of its proper divisors (38671681187).

210032121013 is a wasteful number, since it uses less digits than its factorization.

210032121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44853 (or 44842 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210032121013 its reverse (310121230012), we get a palindrome (520153351025).

The spelling of 210032121013 in words is "two hundred ten billion, thirty-two million, one hundred twenty-one thousand, thirteen".