13130004011312 has 80 divisors (see below), whose sum is σ = 27370818905472. Its totient is φ = 6079776522240.

The previous prime is 13130004011287. The next prime is 13130004011317. The reversal of 13130004011312 is 21311040003131.

It is a super-2 number, since 2×13130004011312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13130004011317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3126137 + ... + 6002727.

Almost surely, 2^{13130004011312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130004011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685409452736).

13130004011312 is an abundant number, since it is smaller than the sum of its proper divisors (14240814894160).

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

13130004011312 is a wasteful number, since it uses less digits than its factorization.

13130004011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876886 (or 2876880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13130004011312 its reverse (21311040003131), we get a palindrome (34441044014443).

The spelling of 13130004011312 in words is "thirteen trillion, one hundred thirty billion, four million, eleven thousand, three hundred twelve".