32013113010320 has 320 divisors, whose sum is σ = 82536165347328. Its totient is φ = 11472814080000.

The previous prime is 32013113010293. The next prime is 32013113010419. The reversal of 32013113010320 is 2301031131023.

32013113010320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32013113010320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32013113010292 and 32013113010301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13674972350 + ... + 13674974690.

Almost surely, 2^{32013113010320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013113010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41268082673664).

32013113010320 is an abundant number, since it is smaller than the sum of its proper divisors (50523052337008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32013113010320 is a wasteful number, since it uses less digits than its factorization.

32013113010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 32013113010320 its reverse (2301031131023), we get a palindrome (34314144141343).

The spelling of 32013113010320 in words is "thirty-two trillion, thirteen billion, one hundred thirteen million, ten thousand, three hundred twenty".