2131213100 has 72 divisors (see below), whose sum is σ = 4724520528. Its totient is φ = 834278400.

The previous prime is 2131213069. The next prime is 2131213121. The reversal of 2131213100 is 13121312.

It is a super-2 number, since 2×2131213100² = 9084138555223220000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 999035 + ... + 1001165.

Almost surely, 2^2131213100 is an apocalyptic number.

2131213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362260264).

2131213100 is an abundant number, since it is smaller than the sum of its proper divisors (2593307428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131213100 is a wasteful number, since it uses less digits than its factorization.

2131213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2348 counting only the distinct ones).

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

The square root of 2131213100 is about 46165.0636304121. The cubic root of 2131213100 is about 1286.8925667002.

Adding to 2131213100 its reverse (13121312), we get a palindrome (2144334412).

It can be divided in two parts, 2131 and 213100, that multiplied together give a square (454116100 = 21310²).

The spelling of 2131213100 in words is "two billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred".