13213860833160 has 2304 divisors, whose sum is σ = 52833441024000. Its totient is φ = 2959080284160.

The previous prime is 13213860833123. The next prime is 13213860833203. The reversal of 13213860833160 is 6133806831231.

13213860833160 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 8 + 608 + 3 + 31 + 6 + 0 = 666.

It is a super-2 number, since 2×13213860833160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 148470346396 + ... + 148470346484.

It is an arithmetic number, because the mean of its divisors is an integer number (22931181000).

Almost surely, 2^{13213860833160} is an apocalyptic number.

13213860833160 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 13213860833160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416720512000).

13213860833160 is an abundant number, since it is smaller than the sum of its proper divisors (39619580190840).

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

13213860833160 is a wasteful number, since it uses less digits than its factorization.

13213860833160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13213860833160 in words is "thirteen trillion, two hundred thirteen billion, eight hundred sixty million, eight hundred thirty-three thousand, one hundred sixty".