10032320311113 has 64 divisors (see below), whose sum is σ = 14621257728000. Its totient is φ = 6095172271104.

The previous prime is 10032320311093. The next prime is 10032320311187. The reversal of 10032320311113 is 31111302323001.

It is a happy number.

It is not a de Polignac number, because 10032320311113 - 2⁵ = 10032320311081 is a prime.

It is a super-3 number, since 3×10032320311113³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10032320311113.

It is not an unprimeable number, because it can be changed into a prime (10032320319113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53023443 + ... + 53212311.

It is an arithmetic number, because the mean of its divisors is an integer number (228457152000).

Almost surely, 2^{10032320311113} is an apocalyptic number.

It is an amenable number.

10032320311113 is a deficient number, since it is larger than the sum of its proper divisors (4588937416887).

10032320311113 is a wasteful number, since it uses less digits than its factorization.

10032320311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189214.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10032320311113 its reverse (31111302323001), we get a palindrome (41143622634114).

The spelling of 10032320311113 in words is "ten trillion, thirty-two billion, three hundred twenty million, three hundred eleven thousand, one hundred thirteen".