13101102131130 has 192 divisors, whose sum is σ = 37002303400608. Its totient is φ = 3196936304640.

The previous prime is 13101102131101. The next prime is 13101102131189. The reversal of 13101102131130 is 3113120110131.

13101102131130 is a `hidden beast` number, since 1 + 310 + 1 + 10 + 2 + 1 + 311 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 304806680649 + 12796295450481 = 552093^2 + 3577191^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67033512 + ... + 67228668.

Almost surely, 2^{13101102131130} is an apocalyptic number.

13101102131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101102131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501151700304).

13101102131130 is an abundant number, since it is smaller than the sum of its proper divisors (23901201269478).

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

13101102131130 is a wasteful number, since it uses less digits than its factorization.

13101102131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195681 (or 195678 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13101102131130 its reverse (3113120110131), we get a palindrome (16214222241261).

The spelling of 13101102131130 in words is "thirteen trillion, one hundred one billion, one hundred two million, one hundred thirty-one thousand, one hundred thirty".