13130311011012 has 144 divisors (see below), whose sum is σ = 35908953400320. Its totient is φ = 4021433858304.

The previous prime is 13130311010951. The next prime is 13130311011019. The reversal of 13130311011012 is 21011011303131.

13130311011012 is a `hidden beast` number, since 131 + 303 + 110 + 110 + 12 = 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 (13130311011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152211789 + ... + 152298027.

Almost surely, 2^{13130311011012} is an apocalyptic number.

13130311011012 is a gapful number since it is divisible by the number (12) 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 13130311011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954476700160).

13130311011012 is an abundant number, since it is smaller than the sum of its proper divisors (22778642389308).

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

13130311011012 is a wasteful number, since it uses less digits than its factorization.

13130311011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87762 (or 87757 counting only the distinct ones).

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

Adding to 13130311011012 its reverse (21011011303131), we get a palindrome (34141322314143).

The spelling of 13130311011012 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, eleven thousand, twelve".