1001231311300 has 144 divisors (see below), whose sum is σ = 2449332857664. Its totient is φ = 352094400000.

The previous prime is 1001231311261. The next prime is 1001231311319. The reversal of 1001231311300 is 31131321001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4672510 + ... + 4882090.

It is an arithmetic number, because the mean of its divisors is an integer number (17009255956).

Almost surely, 2^{1001231311300} is an apocalyptic number.

1001231311300 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 1001231311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224666428832).

1001231311300 is an abundant number, since it is smaller than the sum of its proper divisors (1448101546364).

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

1001231311300 is a wasteful number, since it uses less digits than its factorization.

1001231311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209750 (or 209743 counting only the distinct ones).

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

Adding to 1001231311300 its reverse (31131321001), we get a palindrome (1032362632301).

The spelling of 1001231311300 in words is "one trillion, one billion, two hundred thirty-one million, three hundred eleven thousand, three hundred".