213003131144100 has 144 divisors (see below), whose sum is σ = 672320703262656. Its totient is φ = 51636710592000.

The previous prime is 213003131144057. The next prime is 213003131144119. The reversal of 213003131144100 is 1441131300312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710000130 + ... + 710300070.

Almost surely, 2^{213003131144100} is an apocalyptic number.

213003131144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213003131144100 is an abundant number, since it is smaller than the sum of its proper divisors (459317572118556).

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

213003131144100 is a wasteful number, since it uses less digits than its factorization.

213003131144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515166 (or 515159 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213003131144100 its reverse (1441131300312), we get a palindrome (214444262444412).

The spelling of 213003131144100 in words is "two hundred thirteen trillion, three billion, one hundred thirty-one million, one hundred forty-four thousand, one hundred".