13213347840 has 1248 divisors, whose sum is σ = 61334208000. Its totient is φ = 2601123840.

The previous prime is 13213347817. The next prime is 13213347853. The reversal of 13213347840 is 4874331231.

13213347840 is a `hidden beast` number, since 13 + 2 + 133 + 478 + 40 = 666.

It is a super-2 number, since 2×13213347840² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13213347795 and 13213347804.

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, 695439351 + ... + 695439369.

It is an arithmetic number, because the mean of its divisors is an integer number (49146000).

Almost surely, 2^13213347840 is an apocalyptic number.

13213347840 is a gapful number since it is divisible by the number (10) 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 13213347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30667104000).

13213347840 is an abundant number, since it is smaller than the sum of its proper divisors (48120860160).

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

13213347840 is a wasteful number, since it uses less digits than its factorization.

13213347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13213347840 in words is "thirteen billion, two hundred thirteen million, three hundred forty-seven thousand, eight hundred forty".