1031131022000 has 160 divisors (see below), whose sum is σ = 2711291019840. Its totient is φ = 377698406400.

The previous prime is 1031131021957. The next prime is 1031131022003. The reversal of 1031131022000 is 2201311301.

It is a super-3 number, since 3×1031131022000³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1031131022003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848171 + ... + 1667829.

It is an arithmetic number, because the mean of its divisors is an integer number (16945568874).

Almost surely, 2^{1031131022000} is an apocalyptic number.

1031131022000 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 1031131022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355645509920).

1031131022000 is an abundant number, since it is smaller than the sum of its proper divisors (1680159997840).

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

1031131022000 is a wasteful number, since it uses less digits than its factorization.

1031131022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819736 (or 819720 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1031131022000 its reverse (2201311301), we get a palindrome (1033332333301).

The spelling of 1031131022000 in words is "one trillion, thirty-one billion, one hundred thirty-one million, twenty-two thousand".