303020101020000 has 1920 divisors, whose sum is σ = 1268931873420288. Its totient is φ = 61585920000000.

The previous prime is 303020101019971. The next prime is 303020101020017. The reversal of 303020101020000 is 20101020303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 319 ways as a sum of consecutive naturals, for example, 20404012575 + ... + 20404027425.

Almost surely, 2^{303020101020000} is an apocalyptic number.

303020101020000 is a gapful number since it is divisible by the number (30) 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 303020101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634465936710144).

303020101020000 is an abundant number, since it is smaller than the sum of its proper divisors (965911772400288).

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

303020101020000 is a wasteful number, since it uses less digits than its factorization.

303020101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 303020101020000 its reverse (20101020303), we get a palindrome (303040202040303).

The spelling of 303020101020000 in words is "three hundred three trillion, twenty billion, one hundred one million, twenty thousand".