13071623056128 has 1728 divisors, whose sum is σ = 49903153950720. Its totient is φ = 3343967649792.

The previous prime is 13071623056069. The next prime is 13071623056133. The reversal of 13071623056128 is 82165032617031.

It is a happy number.

13071623056128 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 1 + 6 + 23 + 0 + 5 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×13071623056128² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21534798801 + ... + 21534799407.

Almost surely, 2^{13071623056128} is an apocalyptic number.

13071623056128 is a gapful number since it is divisible by the number (18) 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 13071623056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24951576975360).

13071623056128 is an abundant number, since it is smaller than the sum of its proper divisors (36831530894592).

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

13071623056128 is a wasteful number, since it uses less digits than its factorization.

13071623056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13071623056128 in words is "thirteen trillion, seventy-one billion, six hundred twenty-three million, fifty-six thousand, one hundred twenty-eight".