13321001132010 has 384 divisors, whose sum is σ = 41127994881792. Its totient is φ = 2948908032000.

The previous prime is 13321001131987. The next prime is 13321001132039. The reversal of 13321001132010 is 1023110012331.

13321001132010 is a `hidden beast` number, since 1 + 3 + 321 + 0 + 0 + 11 + 320 + 10 = 666.

It is a super-3 number, since 3×13321001132010³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 786773245 + ... + 786790175.

It is an arithmetic number, because the mean of its divisors is an integer number (107104153338).

Almost surely, 2^{13321001132010} is an apocalyptic number.

13321001132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321001132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563997440896).

13321001132010 is an abundant number, since it is smaller than the sum of its proper divisors (27806993749782).

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

13321001132010 is a wasteful number, since it uses less digits than its factorization.

13321001132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17622 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13321001132010 its reverse (1023110012331), we get a palindrome (14344111144341).

The spelling of 13321001132010 in words is "thirteen trillion, three hundred twenty-one billion, one million, one hundred thirty-two thousand, ten".