213101121413100 has 72 divisors (see below), whose sum is σ = 621008352018880. Its totient is φ = 56418138607680.

The previous prime is 213101121413087. The next prime is 213101121413119. The reversal of 213101121413100 is 1314121101312.

It is a happy number.

213101121413100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213101121413100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555127622 + ... + 2555211021.

Almost surely, 2^{213101121413100} is an apocalyptic number.

213101121413100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213101121413100 is an abundant number, since it is smaller than the sum of its proper divisors (407907230605780).

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

213101121413100 is a wasteful number, since it uses less digits than its factorization.

213101121413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110338799 (or 5110338792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 213101121413100 its reverse (1314121101312), we get a palindrome (214415242514412).

The spelling of 213101121413100 in words is "two hundred thirteen trillion, one hundred one billion, one hundred twenty-one million, four hundred thirteen thousand, one hundred".