20345006213000 has 256 divisors, whose sum is σ = 56229821706240. Its totient is φ = 6742441728000.

The previous prime is 20345006212877. The next prime is 20345006213011. The reversal of 20345006213000 is 31260054302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185046044 + ... + 185155956.

It is an arithmetic number, because the mean of its divisors is an integer number (219647741040).

Almost surely, 2^{20345006213000} is an apocalyptic number.

20345006213000 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 20345006213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28114910853120).

20345006213000 is an abundant number, since it is smaller than the sum of its proper divisors (35884815493240).

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

20345006213000 is a wasteful number, since it uses less digits than its factorization.

20345006213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110825 (or 110811 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 20345006213000 its reverse (31260054302), we get a palindrome (20376266267302).

The spelling of 20345006213000 in words is "twenty trillion, three hundred forty-five billion, six million, two hundred thirteen thousand".