100301200213 has 32 divisors (see below), whose sum is σ = 105788009088. Its totient is φ = 95001984000.

The previous prime is 100301200211. The next prime is 100301200261. The reversal of 100301200213 is 312002103001.

It is a cyclic number.

It is not a de Polignac number, because 100301200213 - 2¹ = 100301200211 is a prime.

It is a super-2 number, since 2×100301200213² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100301200193 and 100301200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301200211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95433538 + ... + 95434588.

It is an arithmetic number, because the mean of its divisors is an integer number (3305875284).

Almost surely, 2^100301200213 is an apocalyptic number.

It is an amenable number.

100301200213 is a deficient number, since it is larger than the sum of its proper divisors (5486808875).

100301200213 is a wasteful number, since it uses less digits than its factorization.

100301200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100301200213 its reverse (312002103001), we get a palindrome (412303303214).

The spelling of 100301200213 in words is "one hundred billion, three hundred one million, two hundred thousand, two hundred thirteen".