20213013300000 has 288 divisors, whose sum is σ = 66343046148288. Its totient is φ = 5388240000000.

The previous prime is 20213013299987. The next prime is 20213013300041. The reversal of 20213013300000 is 331031202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990289795 + ... + 990310205.

It is an arithmetic number, because the mean of its divisors is an integer number (230357799126).

Almost surely, 2^{20213013300000} is an apocalyptic number.

20213013300000 is a gapful number since it is divisible by the number (20) 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 20213013300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33171523074144).

20213013300000 is an abundant number, since it is smaller than the sum of its proper divisors (46130032848288).

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

20213013300000 is an equidigital number, since it uses as much as digits as its factorization.

20213013300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23750 (or 23722 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20213013300000 its reverse (331031202), we get a palindrome (20213344331202).

The spelling of 20213013300000 in words is "twenty trillion, two hundred thirteen billion, thirteen million, three hundred thousand".