10131342132340 has 384 divisors, whose sum is σ = 26669973012480. Its totient is φ = 3182112000000.

The previous prime is 10131342132271. The next prime is 10131342132341. The reversal of 10131342132340 is 4323124313101.

It is a junction number, because it is equal to n+sod(n) for n = 10131342132299 and 10131342132308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131342132341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319071465 + ... + 319103215.

It is an arithmetic number, because the mean of its divisors is an integer number (69453054720).

Almost surely, 2^{10131342132340} is an apocalyptic number.

10131342132340 is a gapful number since it is divisible by the number (10) 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 10131342132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334986506240).

10131342132340 is an abundant number, since it is smaller than the sum of its proper divisors (16538630880140).

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

10131342132340 is a wasteful number, since it uses less digits than its factorization.

10131342132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31935 (or 31933 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 10131342132340 its reverse (4323124313101), we get a palindrome (14454466445441).

The spelling of 10131342132340 in words is "ten trillion, one hundred thirty-one billion, three hundred forty-two million, one hundred thirty-two thousand, three hundred forty".