13131000013320 has 384 divisors, whose sum is σ = 49177918333440. Its totient is φ = 2976483594240.

The previous prime is 13131000013301. The next prime is 13131000013331. The reversal of 13131000013320 is 2331000013131.

It is a happy number.

13131000013320 is a `hidden beast` number, since 1 + 31 + 310 + 0 + 0 + 0 + 1 + 3 + 320 = 666.

It is a super-2 number, since 2×13131000013320² (a number of 27 digits) contains 22 as substring.

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 = 13131000013293 and 13131000013302.

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, 206096589 + ... + 206160291.

It is an arithmetic number, because the mean of its divisors is an integer number (128067495660).

Almost surely, 2^{13131000013320} is an apocalyptic number.

13131000013320 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 13131000013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588959166720).

13131000013320 is an abundant number, since it is smaller than the sum of its proper divisors (36046918320120).

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

13131000013320 is a wasteful number, since it uses less digits than its factorization.

13131000013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64405 (or 64398 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131000013320 its reverse (2331000013131), we get a palindrome (15462000026451).

The spelling of 13131000013320 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, three hundred twenty".