13102121301000 has 128 divisors (see below), whose sum is σ = 40990007784960. Its totient is φ = 3484378560000.

The previous prime is 13102121300999. The next prime is 13102121301041. The reversal of 13102121301000 is 10312120131.

It is a happy number.

It is a super-3 number, since 3×13102121301000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4849101 + ... + 7051100.

It is an arithmetic number, because the mean of its divisors is an integer number (320234435820).

Almost surely, 2^{13102121301000} is an apocalyptic number.

13102121301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102121301000 is an abundant number, since it is smaller than the sum of its proper divisors (27887886483960).

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

13102121301000 is a wasteful number, since it uses less digits than its factorization.

13102121301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900592 (or 11900578 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13102121301000 its reverse (10312120131), we get a palindrome (13112433421131).

The spelling of 13102121301000 in words is "thirteen trillion, one hundred two billion, one hundred twenty-one million, three hundred one thousand".