20210130000000 has 768 divisors, whose sum is σ = 74482420652640. Its totient is φ = 5256960000000.

The previous prime is 20210129999987. The next prime is 20210130000013. The reversal of 20210130000000 is 3101202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20210129999987) and next prime (20210130000013).

It can be written as a sum of positive squares in 16 ways, for example, as 20209196575296 + 933424704 = 4495464^2 + 30552^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3689997262 + ... + 3690002738.

Almost surely, 2^{20210130000000} is an apocalyptic number.

20210130000000 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 20210130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37241210326320).

20210130000000 is an abundant number, since it is smaller than the sum of its proper divisors (54272290652640).

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

20210130000000 is an frugal number, since it uses more digits than its factorization.

20210130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20210130000000 its reverse (3101202), we get a palindrome (20210133101202).

The spelling of 20210130000000 in words is "twenty trillion, two hundred ten billion, one hundred thirty million", and thus it is an aban number.