100213332131 has 16 divisors (see below), whose sum is σ = 114089568768. Its totient is φ = 87132302400.

The previous prime is 100213332103. The next prime is 100213332139. The reversal of 100213332131 is 131233312001.

It is not a de Polignac number, because 100213332131 - 2⁶ = 100213332067 is a prime.

It is a super-2 number, since 2×100213332131² (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 (100213332139) 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, 3143351 + ... + 3175071.

It is an arithmetic number, because the mean of its divisors is an integer number (7130598048).

Almost surely, 2^100213332131 is an apocalyptic number.

100213332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100213332131 is a deficient number, since it is larger than the sum of its proper divisors (13876236637).

100213332131 is a wasteful number, since it uses less digits than its factorization.

100213332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44242.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100213332131 its reverse (131233312001), we get a palindrome (231446644132).

The spelling of 100213332131 in words is "one hundred billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-one".