213003003131101 has 4 divisors (see below), whose sum is σ = 213539534625532. Its totient is φ = 212466471636672.

The previous prime is 213003003131063. The next prime is 213003003131117. The reversal of 213003003131101 is 101131300300312.

213003003131101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50099287267225 + 162903715863876 = 7078085^2 + 12763374^2 .

It is a cyclic number.

It is not a de Polignac number, because 213003003131101 - 2³⁵ = 212968643392733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003000131101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 268265746620 + ... + 268265747413.

It is an arithmetic number, because the mean of its divisors is an integer number (53384883656383).

Almost surely, 2^{213003003131101} is an apocalyptic number.

It is an amenable number.

213003003131101 is a deficient number, since it is larger than the sum of its proper divisors (536531494431).

213003003131101 is an equidigital number, since it uses as much as digits as its factorization.

213003003131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536531494430.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 213003003131101 its reverse (101131300300312), we get a palindrome (314134303431413).

The spelling of 213003003131101 in words is "two hundred thirteen trillion, three billion, three million, one hundred thirty-one thousand, one hundred one".