213011101313 has 16 divisors (see below), whose sum is σ = 225249123456. Its totient is φ = 201027657600.

The previous prime is 213011101297. The next prime is 213011101337. The reversal of 213011101313 is 313101110312.

It is a cyclic number.

It is not a de Polignac number, because 213011101313 - 2⁴ = 213011101297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213011101291 and 213011101300.

It is not an unprimeable number, because it can be changed into a prime (213011101363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371413 + ... + 1518813.

It is an arithmetic number, because the mean of its divisors is an integer number (14078070216).

Almost surely, 2^213011101313 is an apocalyptic number.

213011101313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213011101313 is a deficient number, since it is larger than the sum of its proper divisors (12238022143).

213011101313 is a wasteful number, since it uses less digits than its factorization.

213011101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148264.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 213011101313 its reverse (313101110312), we get a palindrome (526112211625).

The spelling of 213011101313 in words is "two hundred thirteen billion, eleven million, one hundred one thousand, three hundred thirteen".