1331000411200 has 84 divisors (see below), whose sum is σ = 3311892037620. Its totient is φ = 526418083840.

The previous prime is 1331000411197. The next prime is 1331000411201. The reversal of 1331000411200 is 21140001331.

It can be written as a sum of positive squares in 6 ways, for example, as 433827726336 + 897172684864 = 658656^2 + 947192^2 .

It is a super-2 number, since 2×1331000411200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1331000411201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4531057 + ... + 4815856.

Almost surely, 2^{1331000411200} is an apocalyptic number.

1331000411200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331000411200 is an abundant number, since it is smaller than the sum of its proper divisors (1980891626420).

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

1331000411200 is an equidigital number, since it uses as much as digits as its factorization.

1331000411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347024 (or 9347009 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1331000411200 its reverse (21140001331), we get a palindrome (1352140412531).

The spelling of 1331000411200 in words is "one trillion, three hundred thirty-one billion, four hundred eleven thousand, two hundred".