13142010420 has 576 divisors, whose sum is σ = 52130856960. Its totient is φ = 2600294400.

The previous prime is 13142010337. The next prime is 13142010449. The reversal of 13142010420 is 2401024131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13142010393 and 13142010402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31364971 + ... + 31365389.

It is an arithmetic number, because the mean of its divisors is an integer number (90504960).

Almost surely, 2^13142010420 is an apocalyptic number.

13142010420 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 13142010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26065428480).

13142010420 is an abundant number, since it is smaller than the sum of its proper divisors (38988846540).

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

13142010420 is a wasteful number, since it uses less digits than its factorization.

13142010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13142010420 its reverse (2401024131), we get a palindrome (15543034551).

The spelling of 13142010420 in words is "thirteen billion, one hundred forty-two million, ten thousand, four hundred twenty".