13131021011130 has 192 divisors, whose sum is σ = 38569836614400. Its totient is φ = 3070223170560.

The previous prime is 13131021011099. The next prime is 13131021011131. The reversal of 13131021011130 is 3111012013131.

13131021011130 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 210 + 11 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13131021011131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26657211 + ... + 27145329.

It is an arithmetic number, because the mean of its divisors is an integer number (200884565700).

Almost surely, 2^{13131021011130} is an apocalyptic number.

13131021011130 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 13131021011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284918307200).

13131021011130 is an abundant number, since it is smaller than the sum of its proper divisors (25438815603270).

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

13131021011130 is a wasteful number, since it uses less digits than its factorization.

13131021011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489109 (or 489106 counting only the distinct ones).

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

Adding to 13131021011130 its reverse (3111012013131), we get a palindrome (16242033024261).

It can be divided in two parts, 1313102 and 1011130, that added together give a palindrome (2324232).

The spelling of 13131021011130 in words is "thirteen trillion, one hundred thirty-one billion, twenty-one million, eleven thousand, one hundred thirty".