213112131233100 has 144 divisors (see below), whose sum is σ = 684060388583040. Its totient is φ = 50787893580800.

The previous prime is 213112131233087. The next prime is 213112131233123. The reversal of 213112131233100 is 1332131211312.

It is a super-2 number, since 2×213112131233100² (a number of 29 digits) 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 47 ways as a sum of consecutive naturals, for example, 547088637 + ... + 547478036.

It is an arithmetic number, because the mean of its divisors is an integer number (4750419365160).

Almost surely, 2^{213112131233100} is an apocalyptic number.

213112131233100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213112131233100 is an abundant number, since it is smaller than the sum of its proper divisors (470948257349940).

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

213112131233100 is a wasteful number, since it uses less digits than its factorization.

213112131233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094566760 (or 1094566753 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 213112131233100 its reverse (1332131211312), we get a palindrome (214444262444412).

The spelling of 213112131233100 in words is "two hundred thirteen trillion, one hundred twelve billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred".