13133433420 has 192 divisors, whose sum is σ = 42103756800. Its totient is φ = 3396245760.

The previous prime is 13133433359. The next prime is 13133433449. The reversal of 13133433420 is 2433433131.

13133433420 is a `hidden beast` number, since 1 + 313 + 3 + 4 + 3 + 342 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7171905 + ... + 7173735.

It is an arithmetic number, because the mean of its divisors is an integer number (219290400).

Almost surely, 2^13133433420 is an apocalyptic number.

13133433420 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 13133433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051878400).

13133433420 is an abundant number, since it is smaller than the sum of its proper divisors (28970323380).

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

13133433420 is a wasteful number, since it uses less digits than its factorization.

13133433420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13133433420 its reverse (2433433131), we get a palindrome (15566866551).

The spelling of 13133433420 in words is "thirteen billion, one hundred thirty-three million, four hundred thirty-three thousand, four hundred twenty".