13130000203320 has 1536 divisors, whose sum is σ = 61941245184000. Its totient is φ = 2321363681280.

The previous prime is 13130000203267. The next prime is 13130000203349. The reversal of 13130000203320 is 2330200003131.

13130000203320 is a `hidden beast` number, since 1 + 31 + 300 + 0 + 0 + 2 + 0 + 332 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13130000203293 and 13130000203302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 253307166 + ... + 253358994.

It is an arithmetic number, because the mean of its divisors is an integer number (40326331500).

Almost surely, 2^{13130000203320} is an apocalyptic number.

13130000203320 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 13130000203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30970622592000).

13130000203320 is an abundant number, since it is smaller than the sum of its proper divisors (48811244980680).

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

13130000203320 is a wasteful number, since it uses less digits than its factorization.

13130000203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51933 (or 51926 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13130000203320 its reverse (2330200003131), we get a palindrome (15460200206451).

The spelling of 13130000203320 in words is "thirteen trillion, one hundred thirty billion, two hundred three thousand, three hundred twenty".