13013311221000 has 192 divisors, whose sum is σ = 43987803678000. Its totient is φ = 3469994496000.

The previous prime is 13013311220977. The next prime is 13013311221013. The reversal of 13013311221000 is 12211331031.

13013311221000 is a `hidden beast` number, since 1 + 301 + 331 + 1 + 22 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 174805937604 + 12838505283396 = 418098^2 + 3583086^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179504760 + ... + 179577240.

Almost surely, 2^{13013311221000} is an apocalyptic number.

13013311221000 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 13013311221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993901839000).

13013311221000 is an abundant number, since it is smaller than the sum of its proper divisors (30974492457000).

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

13013311221000 is a wasteful number, since it uses less digits than its factorization.

13013311221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92457 (or 92440 counting only the distinct ones).

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

Adding to 13013311221000 its reverse (12211331031), we get a palindrome (13025522552031).

The spelling of 13013311221000 in words is "thirteen trillion, thirteen billion, three hundred eleven million, two hundred twenty-one thousand".