13010162688 has 264 divisors, whose sum is σ = 38856317760. Its totient is φ = 4190699520.

The previous prime is 13010162639. The next prime is 13010162699. The reversal of 13010162688 is 88626101031.

13010162688 is a `hidden beast` number, since 13 + 0 + 10 + 1 + 626 + 8 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 38605656 + ... + 38605992.

Almost surely, 2^13010162688 is an apocalyptic number.

13010162688 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 13010162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19428158880).

13010162688 is an abundant number, since it is smaller than the sum of its proper divisors (25846155072).

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

13010162688 is a wasteful number, since it uses less digits than its factorization.

13010162688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13010162688 in words is "thirteen billion, ten million, one hundred sixty-two thousand, six hundred eighty-eight".