12131142333310 has 128 divisors (see below), whose sum is σ = 29320123392000. Its totient is φ = 3490066552320.

The previous prime is 12131142333301. The next prime is 12131142333313. The reversal of 12131142333310 is 1333324113121.

12131142333310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12131142333310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131142333313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248213556 + ... + 248262424.

It is an arithmetic number, because the mean of its divisors is an integer number (229063464000).

Almost surely, 2^{12131142333310} is an apocalyptic number.

12131142333310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131142333310 is an abundant number, since it is smaller than the sum of its proper divisors (17188981058690).

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

12131142333310 is a wasteful number, since it uses less digits than its factorization.

12131142333310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73706.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 12131142333310 its reverse (1333324113121), we get a palindrome (13464466446431).

The spelling of 12131142333310 in words is "twelve trillion, one hundred thirty-one billion, one hundred forty-two million, three hundred thirty-three thousand, three hundred ten".