20300311300302 has 96 divisors (see below), whose sum is σ = 50520575214720. Its totient is φ = 5826383991360.

The previous prime is 20300311300301. The next prime is 20300311300307.

20300311300302 is a `hidden beast` number, since 2 + 0 + 30 + 0 + 31 + 1 + 300 + 302 = 666.

20300311300302 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300311300301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14424573 + ... + 15769239.

It is an arithmetic number, because the mean of its divisors is an integer number (526255991820).

Almost surely, 2^{20300311300302} is an apocalyptic number.

20300311300302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300311300302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260287607360).

20300311300302 is an abundant number, since it is smaller than the sum of its proper divisors (30220263914418).

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

20300311300302 is a wasteful number, since it uses less digits than its factorization.

20300311300302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348718 (or 1348715 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 2030031 and 1300302, that added together give a palindrome (3330333).

The spelling of 20300311300302 in words is "twenty trillion, three hundred billion, three hundred eleven million, three hundred thousand, three hundred two".