10131432420000 has 480 divisors, whose sum is σ = 33857961984000. Its totient is φ = 2651336064000.

The previous prime is 10131432419917. The next prime is 10131432420001. The reversal of 10131432420000 is 2423413101.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (10131432420001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 791573601 + ... + 791586399.

It is an arithmetic number, because the mean of its divisors is an integer number (70537420800).

Almost surely, 2^{10131432420000} is an apocalyptic number.

10131432420000 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 10131432420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928980992000).

10131432420000 is an abundant number, since it is smaller than the sum of its proper divisors (23726529564000).

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

10131432420000 is a wasteful number, since it uses less digits than its factorization.

10131432420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13078 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10131432420000 its reverse (2423413101), we get a palindrome (10133855833101).

The spelling of 10131432420000 in words is "ten trillion, one hundred thirty-one billion, four hundred thirty-two million, four hundred twenty thousand".