13035431304 has 256 divisors, whose sum is σ = 43329945600. Its totient is φ = 3552595200.

The previous prime is 13035431291. The next prime is 13035431347. The reversal of 13035431304 is 40313453031.

13035431304 is a `hidden beast` number, since 1 + 3 + 0 + 354 + 3 + 1 + 304 = 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, 3325954 + ... + 3329870.

It is an arithmetic number, because the mean of its divisors is an integer number (169257600).

Almost surely, 2^13035431304 is an apocalyptic number.

13035431304 is a gapful number since it is divisible by the number (14) 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 13035431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21664972800).

13035431304 is an abundant number, since it is smaller than the sum of its proper divisors (30294514296).

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

13035431304 is a wasteful number, since it uses less digits than its factorization.

13035431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13035431304 its reverse (40313453031), we get a palindrome (53348884335).

The spelling of 13035431304 in words is "thirteen billion, thirty-five million, four hundred thirty-one thousand, three hundred four".