1331021101300 has 576 divisors, whose sum is σ = 3575651143680. Its totient is φ = 424359936000.

The previous prime is 1331021101271. The next prime is 1331021101303. The reversal of 1331021101300 is 31011201331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331021101303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1549500271 + ... + 1549501129.

It is an arithmetic number, because the mean of its divisors is an integer number (6207727680).

Almost surely, 2^{1331021101300} is an apocalyptic number.

1331021101300 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 1331021101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787825571840).

1331021101300 is an abundant number, since it is smaller than the sum of its proper divisors (2244630042380).

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

1331021101300 is a wasteful number, since it uses less digits than its factorization.

1331021101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

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

Adding to 1331021101300 its reverse (31011201331), we get a palindrome (1362032302631).

The spelling of 1331021101300 in words is "one trillion, three hundred thirty-one billion, twenty-one million, one hundred one thousand, three hundred".