13143431341020 has 288 divisors, whose sum is σ = 40478670590400. Its totient is φ = 3182091042816.

The previous prime is 13143431340979. The next prime is 13143431341031. The reversal of 13143431341020 is 2014313434131.

It is a super-2 number, since 2×13143431341020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 579786246 + ... + 579808914.

It is an arithmetic number, because the mean of its divisors is an integer number (140550939550).

Almost surely, 2^{13143431341020} is an apocalyptic number.

13143431341020 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 13143431341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239335295200).

13143431341020 is an abundant number, since it is smaller than the sum of its proper divisors (27335239249380).

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

13143431341020 is a wasteful number, since it uses less digits than its factorization.

13143431341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23897 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13143431341020 its reverse (2014313434131), we get a palindrome (15157744775151).

The spelling of 13143431341020 in words is "thirteen trillion, one hundred forty-three billion, four hundred thirty-one million, three hundred forty-one thousand, twenty".