12131133034146 has 192 divisors, whose sum is σ = 29528795068416. Its totient is φ = 3306548044800.

The previous prime is 12131133034117. The next prime is 12131133034283. The reversal of 12131133034146 is 64143033113121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5829471826 + ... + 5829473906.

It is an arithmetic number, because the mean of its divisors is an integer number (153795807648).

Almost surely, 2^{12131133034146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131133034146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764397534208).

12131133034146 is an abundant number, since it is smaller than the sum of its proper divisors (17397662034270).

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

12131133034146 is a wasteful number, since it uses less digits than its factorization.

12131133034146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 12131133034146 its reverse (64143033113121), we get a palindrome (76274166147267).

The spelling of 12131133034146 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty-three million, thirty-four thousand, one hundred forty-six".