13355005213200 has 360 divisors, whose sum is σ = 49771924720320. Its totient is φ = 3052154649600.

The previous prime is 13355005213177. The next prime is 13355005213219. The reversal of 13355005213200 is 231250055331.

It is a super-3 number, since 3×13355005213200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689067510 + ... + 689086890.

Almost surely, 2^{13355005213200} is an apocalyptic number.

13355005213200 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 13355005213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24885962360160).

13355005213200 is an abundant number, since it is smaller than the sum of its proper divisors (36416919507120).

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

13355005213200 is a wasteful number, since it uses less digits than its factorization.

13355005213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31135 (or 31117 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 13355005213200 its reverse (231250055331), we get a palindrome (13586255268531).

The spelling of 13355005213200 in words is "thirteen trillion, three hundred fifty-five billion, five million, two hundred thirteen thousand, two hundred".