13071082302432 has 288 divisors, whose sum is σ = 48782031217920. Its totient is φ = 3216397455360.

The previous prime is 13071082302419. The next prime is 13071082302529. The reversal of 13071082302432 is 23420328017031.

13071082302432 is a `hidden beast` number, since 1 + 307 + 1 + 0 + 8 + 2 + 302 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13071082302432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15089833 + ... + 15932520.

It is an arithmetic number, because the mean of its divisors is an integer number (169382052840).

Almost surely, 2^{13071082302432} is an apocalyptic number.

13071082302432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13071082302432 is an abundant number, since it is smaller than the sum of its proper divisors (35710948915488).

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

13071082302432 is a wasteful number, since it uses less digits than its factorization.

13071082302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31022406 (or 31022395 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13071082302432 in words is "thirteen trillion, seventy-one billion, eighty-two million, three hundred two thousand, four hundred thirty-two".