103212320133210 has 128 divisors (see below), whose sum is σ = 252479317248000. Its totient is φ = 26995455002880.

The previous prime is 103212320133199. The next prime is 103212320133233. The reversal of 103212320133210 is 12331023212301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4692097932 + ... + 4692119928.

It is an arithmetic number, because the mean of its divisors is an integer number (1972494666000).

Almost surely, 2^{103212320133210} is an apocalyptic number.

103212320133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212320133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126239658624000).

103212320133210 is an abundant number, since it is smaller than the sum of its proper divisors (149266997114790).

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

103212320133210 is a wasteful number, since it uses less digits than its factorization.

103212320133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27956.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103212320133210 its reverse (12331023212301), we get a palindrome (115543343345511).

The spelling of 103212320133210 in words is "one hundred three trillion, two hundred twelve billion, three hundred twenty million, one hundred thirty-three thousand, two hundred ten".