10813733354820 has 768 divisors, whose sum is σ = 36880684646400. Its totient is φ = 2337527808000.

The previous prime is 10813733354777. The next prime is 10813733354903. The reversal of 10813733354820 is 2845333731801.

10813733354820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10813733354820² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10813733354820.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6327520126 + ... + 6327521834.

It is an arithmetic number, because the mean of its divisors is an integer number (48021724800).

Almost surely, 2^{10813733354820} is an apocalyptic number.

10813733354820 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 10813733354820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440342323200).

10813733354820 is an abundant number, since it is smaller than the sum of its proper divisors (26066951291580).

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

10813733354820 is a wasteful number, since it uses less digits than its factorization.

10813733354820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 10813733354820 in words is "ten trillion, eight hundred thirteen billion, seven hundred thirty-three million, three hundred fifty-four thousand, eight hundred twenty".