32321033202113 has 16 divisors (see below), whose sum is σ = 32801193483600. Its totient is φ = 31841897278464.

The previous prime is 32321033202089. The next prime is 32321033202137. The reversal of 32321033202113 is 31120233012323.

It is an interprime number because it is at equal distance from previous prime (32321033202089) and next prime (32321033202137).

It can be written as a sum of positive squares in 8 ways, for example, as 14221896643249 + 18099136558864 = 3771193^2 + 4254308^2 .

It is a cyclic number.

It is not a de Polignac number, because 32321033202113 - 2¹² = 32321033198017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32321033202413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370895495 + ... + 370982627.

It is an arithmetic number, because the mean of its divisors is an integer number (2050074592725).

Almost surely, 2^{32321033202113} is an apocalyptic number.

It is an amenable number.

32321033202113 is a deficient number, since it is larger than the sum of its proper divisors (480160281487).

32321033202113 is a wasteful number, since it uses less digits than its factorization.

32321033202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92948.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 32321033202113 its reverse (31120233012323), we get a palindrome (63441266214436).

The spelling of 32321033202113 in words is "thirty-two trillion, three hundred twenty-one billion, thirty-three million, two hundred two thousand, one hundred thirteen".