1031221231000 has 192 divisors, whose sum is σ = 2498226101280. Its totient is φ = 398412000000.

The previous prime is 1031221230979. The next prime is 1031221231037. The reversal of 1031221231000 is 1321221301.

It is a super-2 number, since 2×1031221231000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981180475 + ... + 981181525.

Almost surely, 2^{1031221231000} is an apocalyptic number.

1031221231000 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 1031221231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249113050640).

1031221231000 is an abundant number, since it is smaller than the sum of its proper divisors (1467004870280).

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

1031221231000 is a wasteful number, since it uses less digits than its factorization.

1031221231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1031221231000 its reverse (1321221301), we get a palindrome (1032542452301).

The spelling of 1031221231000 in words is "one trillion, thirty-one billion, two hundred twenty-one million, two hundred thirty-one thousand".