201311311020000 has 240 divisors, whose sum is σ = 660380182197120. Its totient is φ = 53679860416000.

The previous prime is 201311311019999. The next prime is 201311311020067. The reversal of 201311311020000 is 20113113102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1128090781 + ... + 1128269219.

It is an arithmetic number, because the mean of its divisors is an integer number (2751584092488).

Almost surely, 2^{201311311020000} is an apocalyptic number.

201311311020000 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 201311311020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330190091098560).

201311311020000 is an abundant number, since it is smaller than the sum of its proper divisors (459068871177120).

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

201311311020000 is a wasteful number, since it uses less digits than its factorization.

201311311020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197275 (or 197252 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201311311020000 its reverse (20113113102), we get a palindrome (201331424133102).

The spelling of 201311311020000 in words is "two hundred one trillion, three hundred eleven billion, three hundred eleven million, twenty thousand".