201312134243220 has 1536 divisors, whose sum is σ = 808413762207744. Its totient is φ = 36093380198400.

The previous prime is 201312134243201. The next prime is 201312134243237. The reversal of 201312134243220 is 22342431213102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5828865792 + ... + 5828900328.

It is an arithmetic number, because the mean of its divisors is an integer number (526311043104).

Almost surely, 2^{201312134243220} is an apocalyptic number.

201312134243220 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 201312134243220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404206881103872).

201312134243220 is an abundant number, since it is smaller than the sum of its proper divisors (607101627964524).

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

201312134243220 is a wasteful number, since it uses less digits than its factorization.

201312134243220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34721 (or 34719 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 201312134243220 its reverse (22342431213102), we get a palindrome (223654565456322).

The spelling of 201312134243220 in words is "two hundred one trillion, three hundred twelve billion, one hundred thirty-four million, two hundred forty-three thousand, two hundred twenty".