1000321134000 has 160 divisors (see below), whose sum is σ = 3232040011200. Its totient is φ = 266172928000.

The previous prime is 1000321133989. The next prime is 1000321134017. The reversal of 1000321134000 is 4311230001.

It is a super-2 number, since 2×1000321134000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585176 + ... + 2946824.

It is an arithmetic number, because the mean of its divisors is an integer number (20200250070).

Almost surely, 2^{1000321134000} is an apocalyptic number.

1000321134000 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 1000321134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616020005600).

1000321134000 is an abundant number, since it is smaller than the sum of its proper divisors (2231718877200).

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

1000321134000 is a wasteful number, since it uses less digits than its factorization.

1000321134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362136 (or 362120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1000321134000 its reverse (4311230001), we get a palindrome (1004632364001).

The spelling of 1000321134000 in words is "one trillion, three hundred twenty-one million, one hundred thirty-four thousand".