13413001680 has 160 divisors (see below), whose sum is σ = 49754315520. Its totient is φ = 3301655040.

The previous prime is 13413001669. The next prime is 13413001687. The reversal of 13413001680 is 8610031431.

13413001680 is a `hidden beast` number, since 1 + 341 + 300 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×13413001680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413001687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210756 + ... + 266915.

It is an arithmetic number, because the mean of its divisors is an integer number (310964472).

Almost surely, 2^13413001680 is an apocalyptic number.

13413001680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413001680 is an abundant number, since it is smaller than the sum of its proper divisors (36341313840).

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

13413001680 is a wasteful number, since it uses less digits than its factorization.

13413001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477706 (or 477694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13413001680 in words is "thirteen billion, four hundred thirteen million, one thousand, six hundred eighty".