13021003122000 has 640 divisors, whose sum is σ = 43450239006720. Its totient is φ = 3352596480000.

The previous prime is 13021003121843. The next prime is 13021003122011. The reversal of 13021003122000 is 22130012031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11533217436 + ... + 11533218564.

It is an arithmetic number, because the mean of its divisors is an integer number (67890998448).

Almost surely, 2^{13021003122000} is an apocalyptic number.

13021003122000 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 13021003122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21725119503360).

13021003122000 is an abundant number, since it is smaller than the sum of its proper divisors (30429235884720).

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

13021003122000 is a wasteful number, since it uses less digits than its factorization.

13021003122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13021003122000 its reverse (22130012031), we get a palindrome (13043133134031).

It can be divided in two parts, 130210031 and 22000, that added together give a palindrome (130232031).

The spelling of 13021003122000 in words is "thirteen trillion, twenty-one billion, three million, one hundred twenty-two thousand".