20320101312000 has 320 divisors, whose sum is σ = 77210584349184. Its totient is φ = 4644594278400.

The previous prime is 20320101311977. The next prime is 20320101312041. The reversal of 20320101312000 is 21310102302.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6215562 + ... + 8903561.

Almost surely, 2^{20320101312000} is an apocalyptic number.

20320101312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320101312000 is an abundant number, since it is smaller than the sum of its proper divisors (56890483037184).

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

20320101312000 is an equidigital number, since it uses as much as digits as its factorization.

20320101312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15119166 (or 15119140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20320101312000 its reverse (21310102302), we get a palindrome (20341411414302).

The spelling of 20320101312000 in words is "twenty trillion, three hundred twenty billion, one hundred one million, three hundred twelve thousand".