1302113311200 has 864 divisors, whose sum is σ = 5125656436992. Its totient is φ = 308883456000.

The previous prime is 1302113311153. The next prime is 1302113311217. The reversal of 1302113311200 is 21133112031.

1302113311200 is a `hidden beast` number, since 1 + 3 + 0 + 211 + 331 + 120 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 815348802 + ... + 815350398.

It is an arithmetic number, because the mean of its divisors is an integer number (5932472728).

Almost surely, 2^{1302113311200} is an apocalyptic number.

1302113311200 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 1302113311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562828218496).

1302113311200 is an abundant number, since it is smaller than the sum of its proper divisors (3823543125792).

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

1302113311200 is a wasteful number, since it uses less digits than its factorization.

1302113311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1932 counting only the distinct ones).

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

Adding to 1302113311200 its reverse (21133112031), we get a palindrome (1323246423231).

The spelling of 1302113311200 in words is "one trillion, three hundred two billion, one hundred thirteen million, three hundred eleven thousand, two hundred".