100213121131 has 4 divisors (see below), whose sum is σ = 100266972064. Its totient is φ = 100159270200.

The previous prime is 100213121117. The next prime is 100213121161. The reversal of 100213121131 is 131121312001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100213121131 - 2¹⁵ = 100213088363 is a prime.

It is a super-2 number, since 2×100213121131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26922675 + ... + 26926396.

It is an arithmetic number, because the mean of its divisors is an integer number (25066743016).

Almost surely, 2^100213121131 is an apocalyptic number.

100213121131 is a deficient number, since it is larger than the sum of its proper divisors (53850933).

100213121131 is an equidigital number, since it uses as much as digits as its factorization.

100213121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53850932.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100213121131 its reverse (131121312001), we get a palindrome (231334433132).

The spelling of 100213121131 in words is "one hundred billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred thirty-one".