101312032213 has 16 divisors (see below), whose sum is σ = 116134421760. Its totient is φ = 86577313536.

The previous prime is 101312032187. The next prime is 101312032223. The reversal of 101312032213 is 312230213101.

It is not a de Polignac number, because 101312032213 - 2²⁹ = 100775161301 is a prime.

It is a super-2 number, since 2×101312032213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312032223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3538431 + ... + 3566947.

It is an arithmetic number, because the mean of its divisors is an integer number (7258401360).

Almost surely, 2^101312032213 is an apocalyptic number.

It is an amenable number.

101312032213 is a deficient number, since it is larger than the sum of its proper divisors (14822389547).

101312032213 is a wasteful number, since it uses less digits than its factorization.

101312032213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101312032213 its reverse (312230213101), we get a palindrome (413542245314).

The spelling of 101312032213 in words is "one hundred one billion, three hundred twelve million, thirty-two thousand, two hundred thirteen".