13010021047296 has 1056 divisors, whose sum is σ = 48736858584960. Its totient is φ = 3250067079168.

The previous prime is 13010021047259. The next prime is 13010021047319. The reversal of 13010021047296 is 69274012001031.

13010021047296 is a `hidden beast` number, since 1 + 301 + 0 + 0 + 21 + 0 + 47 + 296 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13010021047296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289009226 + ... + 1289019318.

Almost surely, 2^{13010021047296} is an apocalyptic number.

13010021047296 is a gapful number since it is divisible by the number (16) 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 13010021047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368429292480).

13010021047296 is an abundant number, since it is smaller than the sum of its proper divisors (35726837537664).

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

13010021047296 is a wasteful number, since it uses less digits than its factorization.

13010021047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13010021047296 in words is "thirteen trillion, ten billion, twenty-one million, forty-seven thousand, two hundred ninety-six".