13130120213232 has 240 divisors, whose sum is σ = 38088584841216. Its totient is φ = 3892948646400.

The previous prime is 13130120213209. The next prime is 13130120213257. The reversal of 13130120213232 is 23231202103131.

It is a super-2 number, since 2×13130120213232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253227578 + ... + 1253238054.

Almost surely, 2^{13130120213232} is an apocalyptic number.

13130120213232 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 13130120213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19044292420608).

13130120213232 is an abundant number, since it is smaller than the sum of its proper divisors (24958464627984).

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

13130120213232 is a wasteful number, since it uses less digits than its factorization.

13130120213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15148 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13130120213232 its reverse (23231202103131), we get a palindrome (36361322316363).

The spelling of 13130120213232 in words is "thirteen trillion, one hundred thirty billion, one hundred twenty million, two hundred thirteen thousand, two hundred thirty-two".