1321311321000 has 192 divisors, whose sum is σ = 4872035563200. Its totient is φ = 320317872000.

The previous prime is 1321311320981. The next prime is 1321311321019. The reversal of 1321311321000 is 1231131231.

1321311321000 is a `hidden beast` number, since 1 + 32 + 1 + 311 + 321 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1321311320981) and next prime (1321311321019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6574290 + ... + 6772289.

It is an arithmetic number, because the mean of its divisors is an integer number (25375185225).

Almost surely, 2^{1321311321000} is an apocalyptic number.

1321311321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321311321000 is an abundant number, since it is smaller than the sum of its proper divisors (3550724242200).

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

1321311321000 is a wasteful number, since it uses less digits than its factorization.

1321311321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346617 (or 13346600 counting only the distinct ones).

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

Adding to 1321311321000 its reverse (1231131231), we get a palindrome (1322542452231).

The spelling of 1321311321000 in words is "one trillion, three hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand".