1311301021200 has 120 divisors (see below), whose sum is σ = 4207069459488. Its totient is φ = 349136240640.

The previous prime is 1311301021181. The next prime is 1311301021229. The reversal of 1311301021200 is 21201031131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311301021200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78129 + ... + 1621328.

Almost surely, 2^{1311301021200} is an apocalyptic number.

1311301021200 is a gapful number since it is divisible by the number (10) 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 1311301021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103534729744).

1311301021200 is an abundant number, since it is smaller than the sum of its proper divisors (2895768438288).

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

1311301021200 is a wasteful number, since it uses less digits than its factorization.

1311301021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700121 (or 1700110 counting only the distinct ones).

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

Adding to 1311301021200 its reverse (21201031131), we get a palindrome (1332502052331).

The spelling of 1311301021200 in words is "one trillion, three hundred eleven billion, three hundred one million, twenty-one thousand, two hundred".