1321540522100 has 72 divisors (see below), whose sum is σ = 2933814098880. Its totient is φ = 516544510720.

The previous prime is 1321540522067. The next prime is 1321540522109. The reversal of 1321540522100 is 12250451231.

It is a self number, because there is not a number n which added to its sum of digits gives 1321540522100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321540522109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 314672 + ... + 1655928.

It is an arithmetic number, because the mean of its divisors is an integer number (40747418040).

Almost surely, 2^{1321540522100} is an apocalyptic number.

1321540522100 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 1321540522100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466907049440).

1321540522100 is an abundant number, since it is smaller than the sum of its proper divisors (1612273576780).

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

1321540522100 is a wasteful number, since it uses less digits than its factorization.

1321540522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341497 (or 1341490 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 1321540522100 its reverse (12250451231), we get a palindrome (1333790973331).

The spelling of 1321540522100 in words is "one trillion, three hundred twenty-one billion, five hundred forty million, five hundred twenty-two thousand, one hundred".