1031131321000 has 128 divisors (see below), whose sum is σ = 2658261265920. Its totient is φ = 371244000000.

The previous prime is 1031131320983. The next prime is 1031131321001. The reversal of 1031131321000 is 1231311301.

It is a super-2 number, since 2×1031131321000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1031131321001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646945 + ... + 1575055.

It is an arithmetic number, because the mean of its divisors is an integer number (20767666140).

Almost surely, 2^{1031131321000} is an apocalyptic number.

1031131321000 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 1031131321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329130632960).

1031131321000 is an abundant number, since it is smaller than the sum of its proper divisors (1627129944920).

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

1031131321000 is a wasteful number, since it uses less digits than its factorization.

1031131321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928244 (or 928230 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1031131321000 its reverse (1231311301), we get a palindrome (1032362632301).

The spelling of 1031131321000 in words is "one trillion, thirty-one billion, one hundred thirty-one million, three hundred twenty-one thousand".