201312131100000 has 144 divisors (see below), whose sum is σ = 660513155608656. Its totient is φ = 53683234880000.

The previous prime is 201312131099987. The next prime is 201312131100001. The reversal of 201312131100000 is 1131213102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201312131100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335220219 + ... + 335820218.

It is an arithmetic number, because the mean of its divisors is an integer number (4586896913949).

Almost surely, 2^{201312131100000} is an apocalyptic number.

201312131100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312131100000 is an abundant number, since it is smaller than the sum of its proper divisors (459201024508656).

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

201312131100000 is an frugal number, since it uses more digits than its factorization.

201312131100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671040475 (or 671040447 counting only the distinct ones).

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

Adding to 201312131100000 its reverse (1131213102), we get a palindrome (201313262313102).

The spelling of 201312131100000 in words is "two hundred one trillion, three hundred twelve billion, one hundred thirty-one million, one hundred thousand".