10020320113020 has 192 divisors, whose sum is σ = 32198835142656. Its totient is φ = 2280815089920.

The previous prime is 10020320113009. The next prime is 10020320113061. The reversal of 10020320113020 is 2031102302001.

It is a super-3 number, since 3×10020320113020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 138812977 + ... + 138885143.

It is an arithmetic number, because the mean of its divisors is an integer number (167702266368).

Almost surely, 2^{10020320113020} is an apocalyptic number.

10020320113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020320113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099417571328).

10020320113020 is an abundant number, since it is smaller than the sum of its proper divisors (22178515029636).

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

10020320113020 is a wasteful number, since it uses less digits than its factorization.

10020320113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73560 (or 73558 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10020320113020 its reverse (2031102302001), we get a palindrome (12051422415021).

The spelling of 10020320113020 in words is "ten trillion, twenty billion, three hundred twenty million, one hundred thirteen thousand, twenty".