13311001200312 has 160 divisors (see below), whose sum is σ = 38164360449600. Its totient is φ = 4332562753536.

The previous prime is 13311001200227. The next prime is 13311001200349. The reversal of 13311001200312 is 21300210011331.

13311001200312 is a `hidden beast` number, since 1 + 331 + 1 + 0 + 0 + 1 + 20 + 0 + 312 = 666.

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 39 ways as a sum of consecutive naturals, for example, 12682764 + ... + 13692132.

It is an arithmetic number, because the mean of its divisors is an integer number (238527252810).

Almost surely, 2^{13311001200312} is an apocalyptic number.

13311001200312 is a gapful number since it is divisible by the number (12) 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 13311001200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082180224800).

13311001200312 is an abundant number, since it is smaller than the sum of its proper divisors (24853359249288).

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

13311001200312 is a wasteful number, since it uses less digits than its factorization.

13311001200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009867 (or 1009854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13311001200312 its reverse (21300210011331), we get a palindrome (34611211211643).

The spelling of 13311001200312 in words is "thirteen trillion, three hundred eleven billion, one million, two hundred thousand, three hundred twelve".