103211100213 has 32 divisors (see below), whose sum is σ = 157785368832. Its totient is φ = 59448038400.

The previous prime is 103211100121. The next prime is 103211100221. The reversal of 103211100213 is 312001112301.

It is a happy number.

It is not a de Polignac number, because 103211100213 - 2²⁴ = 103194322997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103211100192 and 103211100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211100233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310033 + ... + 550038.

It is an arithmetic number, because the mean of its divisors is an integer number (4930792776).

Almost surely, 2^103211100213 is an apocalyptic number.

103211100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103211100213 is a deficient number, since it is larger than the sum of its proper divisors (54574268619).

103211100213 is a wasteful number, since it uses less digits than its factorization.

103211100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860285.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103211100213 its reverse (312001112301), we get a palindrome (415212212514).

The spelling of 103211100213 in words is "one hundred three billion, two hundred eleven million, one hundred thousand, two hundred thirteen".