101100030213 has 64 divisors (see below), whose sum is σ = 170944929792. Its totient is φ = 51717761280.

The previous prime is 101100030203. The next prime is 101100030223. The reversal of 101100030213 is 312030001101.

It is an interprime number because it is at equal distance from previous prime (101100030203) and next prime (101100030223).

It is not a de Polignac number, because 101100030213 - 2⁵ = 101100030181 is a prime.

It is a super-4 number, since 4×101100030213⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100030203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3125320 + ... + 3157502.

It is an arithmetic number, because the mean of its divisors is an integer number (2671014528).

Almost surely, 2^101100030213 is an apocalyptic number.

101100030213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101100030213 is a deficient number, since it is larger than the sum of its proper divisors (69844899579).

101100030213 is a wasteful number, since it uses less digits than its factorization.

101100030213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32554.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101100030213 its reverse (312030001101), we get a palindrome (413130031314).

The spelling of 101100030213 in words is "one hundred one billion, one hundred million, thirty thousand, two hundred thirteen".