10032121413 has 12 divisors (see below), whose sum is σ = 15343244748. Its totient is φ = 6294664320.

The previous prime is 10032121403. The next prime is 10032121417. The reversal of 10032121413 is 31412123001.

10032121413 is a `hidden beast` number, since 100 + 32 + 121 + 413 = 666.

10032121413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6710558724 + 3321562689 = 81918^2 + 57633^2 .

It is not a de Polignac number, because 10032121413 - 2⁵ = 10032121381 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 (10032121417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32784558 + ... + 32784863.

It is an arithmetic number, because the mean of its divisors is an integer number (1278603729).

Almost surely, 2^10032121413 is an apocalyptic number.

It is an amenable number.

10032121413 is a deficient number, since it is larger than the sum of its proper divisors (5311123335).

10032121413 is a wasteful number, since it uses less digits than its factorization.

10032121413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65569444 (or 65569441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10032121413 its reverse (31412123001), we get a palindrome (41444244414).

The spelling of 10032121413 in words is "ten billion, thirty-two million, one hundred twenty-one thousand, four hundred thirteen".