20132015200000 has 864 divisors, whose sum is σ = 56833103948544. Its totient is φ = 7053312000000.

The previous prime is 20132015199983. The next prime is 20132015200013. The reversal of 20132015200000 is 251023102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31407199680 + ... + 31407200320.

It is an arithmetic number, because the mean of its divisors is an integer number (65779055496).

Almost surely, 2^{20132015200000} is an apocalyptic number.

20132015200000 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 20132015200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28416551974272).

20132015200000 is an abundant number, since it is smaller than the sum of its proper divisors (36701088748544).

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

20132015200000 is an frugal number, since it uses more digits than its factorization.

20132015200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 20132015200000 its reverse (251023102), we get a palindrome (20132266223102).

The spelling of 20132015200000 in words is "twenty trillion, one hundred thirty-two billion, fifteen million, two hundred thousand".