13211001353000 has 256 divisors, whose sum is σ = 34272588430080. Its totient is φ = 4726348800000.

The previous prime is 13211001352807. The next prime is 13211001353149. The reversal of 13211001353000 is 35310011231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220002980 + ... + 220063020.

It is an arithmetic number, because the mean of its divisors is an integer number (133877298555).

Almost surely, 2^{13211001353000} is an apocalyptic number.

13211001353000 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 13211001353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136294215040).

13211001353000 is an abundant number, since it is smaller than the sum of its proper divisors (21061587077080).

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

13211001353000 is a wasteful number, since it uses less digits than its factorization.

13211001353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60397 (or 60383 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 13211001353000 its reverse (35310011231), we get a palindrome (13246311364231).

The spelling of 13211001353000 in words is "thirteen trillion, two hundred eleven billion, one million, three hundred fifty-three thousand".