201320132310000 has 600 divisors, whose sum is σ = 768190193387760. Its totient is φ = 48795955200000.

The previous prime is 201320132309969. The next prime is 201320132310019. The reversal of 201320132310000 is 13231023102.

201320132310000 is a `hidden beast` number, since 2 + 0 + 1 + 320 + 1 + 32 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×201320132310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6594374736 + ... + 6594405264.

Almost surely, 2^{201320132310000} is an apocalyptic number.

201320132310000 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 201320132310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384095096693880).

201320132310000 is an abundant number, since it is smaller than the sum of its proper divisors (566870061077760).

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

201320132310000 is a wasteful number, since it uses less digits than its factorization.

201320132310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37235 (or 37211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201320132310000 its reverse (13231023102), we get a palindrome (201333363333102).

The spelling of 201320132310000 in words is "two hundred one trillion, three hundred twenty billion, one hundred thirty-two million, three hundred ten thousand".