12132013112310 has 512 divisors, whose sum is σ = 37794120376320. Its totient is φ = 2422313828352.

The previous prime is 12132013112291. The next prime is 12132013112341. The reversal of 12132013112310 is 1321131023121.

It is a super-2 number, since 2×12132013112310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8466163354 + ... + 8466164786.

It is an arithmetic number, because the mean of its divisors is an integer number (73816641360).

Almost surely, 2^{12132013112310} is an apocalyptic number.

12132013112310 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 12132013112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897060188160).

12132013112310 is an abundant number, since it is smaller than the sum of its proper divisors (25662107264010).

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

12132013112310 is a wasteful number, since it uses less digits than its factorization.

12132013112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12132013112310 its reverse (1321131023121), we get a palindrome (13453144135431).

The spelling of 12132013112310 in words is "twelve trillion, one hundred thirty-two billion, thirteen million, one hundred twelve thousand, three hundred ten".