13102012122000 has 320 divisors, whose sum is σ = 42876000760320. Its totient is φ = 3441430272000.

The previous prime is 13102012121993. The next prime is 13102012122053. The reversal of 13102012122000 is 22121020131.

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

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, 472420134 + ... + 472447866.

It is an arithmetic number, because the mean of its divisors is an integer number (133987502376).

Almost surely, 2^{13102012122000} is an apocalyptic number.

13102012122000 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 13102012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438000380160).

13102012122000 is an abundant number, since it is smaller than the sum of its proper divisors (29773988638320).

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

13102012122000 is a wasteful number, since it uses less digits than its factorization.

13102012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28939 (or 28923 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13102012122000 its reverse (22121020131), we get a palindrome (13124133142131).

The spelling of 13102012122000 in words is "thirteen trillion, one hundred two billion, twelve million, one hundred twenty-two thousand".