13102101133120 has 168 divisors, whose sum is σ = 33596617621464. Its totient is φ = 4864983957504.

The previous prime is 13102101133109. The next prime is 13102101133127. The reversal of 13102101133120 is 2133110120131.

It can be written as a sum of positive squares in 12 ways, for example, as 369022230784 + 12733078902336 = 607472^2 + 3568344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102101133127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5780664 + ... + 7721416.

Almost surely, 2^{13102101133120} is an apocalyptic number.

13102101133120 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 13102101133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798308810732).

13102101133120 is an abundant number, since it is smaller than the sum of its proper divisors (20494516488344).

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

13102101133120 is a wasteful number, since it uses less digits than its factorization.

13102101133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940877 (or 1940850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13102101133120 its reverse (2133110120131), we get a palindrome (15235211253251).

The spelling of 13102101133120 in words is "thirteen trillion, one hundred two billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty".