10032121113013 has 2 divisors, whose sum is σ = 10032121113014. Its totient is φ = 10032121113012.

The previous prime is 10032121112999. The next prime is 10032121113017. The reversal of 10032121113013 is 31031112123001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6201086079204 + 3831035033809 = 2490198^2 + 1957303^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032121113013 - 2¹³ = 10032121104821 is a prime.

It is a super-2 number, since 2×10032121113013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032121113017) 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 as a sum of consecutive naturals, namely, 5016060556506 + 5016060556507.

It is an arithmetic number, because the mean of its divisors is an integer number (5016060556507).

Almost surely, 2^{10032121113013} is an apocalyptic number.

It is an amenable number.

10032121113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032121113013 is an equidigital number, since it uses as much as digits as its factorization.

10032121113013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10032121113013 its reverse (31031112123001), we get a palindrome (41063233236014).

The spelling of 10032121113013 in words is "ten trillion, thirty-two billion, one hundred twenty-one million, one hundred thirteen thousand, thirteen".