1031321313000 has 384 divisors, whose sum is σ = 3905554199040. Its totient is φ = 243259200000.

The previous prime is 1031321312951. The next prime is 1031321313017. The reversal of 1031321313000 is 3131231301.

It is a happy number.

1031321313000 is a `hidden beast` number, since 1 + 0 + 31 + 321 + 313 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3522225 + ... + 3803775.

It is an arithmetic number, because the mean of its divisors is an integer number (10170714060).

Almost surely, 2^{1031321313000} is an apocalyptic number.

1031321313000 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 1031321313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952777099520).

1031321313000 is an abundant number, since it is smaller than the sum of its proper divisors (2874232886040).

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

1031321313000 is a wasteful number, since it uses less digits than its factorization.

1031321313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281626 (or 281609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1031321313000 its reverse (3131231301), we get a palindrome (1034452544301).

The spelling of 1031321313000 in words is "one trillion, thirty-one billion, three hundred twenty-one million, three hundred thirteen thousand".