13213507467776 has 480 divisors, whose sum is σ = 34583106539520. Its totient is φ = 4930863759360.

The previous prime is 13213507467763. The next prime is 13213507467799. The reversal of 13213507467776 is 67776470531231.

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, 1597180376 + ... + 1597188648.

It is an arithmetic number, because the mean of its divisors is an integer number (72048138624).

Almost surely, 2^{13213507467776} is an apocalyptic number.

13213507467776 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 13213507467776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291553269760).

13213507467776 is an abundant number, since it is smaller than the sum of its proper divisors (21369599071744).

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

13213507467776 is a wasteful number, since it uses less digits than its factorization.

13213507467776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 59.

The spelling of 13213507467776 in words is "thirteen trillion, two hundred thirteen billion, five hundred seven million, four hundred sixty-seven thousand, seven hundred seventy-six".