213002100001320 has 384 divisors, whose sum is σ = 745613936956800. Its totient is φ = 48536921309184.

The previous prime is 213002100001307. The next prime is 213002100001357. The reversal of 213002100001320 is 23100001200312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213002100001320.

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, 11559229947 + ... + 11559248373.

It is an arithmetic number, because the mean of its divisors is an integer number (1941702960825).

Almost surely, 2^{213002100001320} is an apocalyptic number.

213002100001320 is a gapful number since it is divisible by the number (20) 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 213002100001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372806968478400).

213002100001320 is an abundant number, since it is smaller than the sum of its proper divisors (532611836955480).

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

213002100001320 is a wasteful number, since it uses less digits than its factorization.

213002100001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377 (or 24366 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213002100001320 its reverse (23100001200312), we get a palindrome (236102101201632).

The spelling of 213002100001320 in words is "two hundred thirteen trillion, two billion, one hundred million, one thousand, three hundred twenty".