100131200213 has 16 divisors (see below), whose sum is σ = 110650060800. Its totient is φ = 89849039280.

The previous prime is 100131200177. The next prime is 100131200219. The reversal of 100131200213 is 312002131001.

It is not a de Polignac number, because 100131200213 - 2¹² = 100131196117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131200219) 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, 3216320 + ... + 3247302.

It is an arithmetic number, because the mean of its divisors is an integer number (6915628800).

Almost surely, 2^100131200213 is an apocalyptic number.

It is an amenable number.

100131200213 is a deficient number, since it is larger than the sum of its proper divisors (10518860587).

100131200213 is a wasteful number, since it uses less digits than its factorization.

100131200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34792.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100131200213 its reverse (312002131001), we get a palindrome (412133331214).

It can be divided in two parts, 1001 and 31200213, that multiplied together give a palindrome (31231413213).

The spelling of 100131200213 in words is "one hundred billion, one hundred thirty-one million, two hundred thousand, two hundred thirteen".