1213112100321 has 48 divisors (see below), whose sum is σ = 2051742363840. Its totient is φ = 682492124160.

The previous prime is 1213112100229. The next prime is 1213112100329. The reversal of 1213112100321 is 1230012113121.

1213112100321 is a `hidden beast` number, since 1 + 2 + 131 + 1 + 210 + 0 + 321 = 666.

It is not a de Polignac number, because 1213112100321 - 2²⁹ = 1212575229409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1213112100294 and 1213112100303.

It is not an unprimeable number, because it can be changed into a prime (1213112100329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4814151 + ... + 5059868.

It is an arithmetic number, because the mean of its divisors is an integer number (42744632580).

Almost surely, 2^{1213112100321} is an apocalyptic number.

1213112100321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1213112100321 is a deficient number, since it is larger than the sum of its proper divisors (838630263519).

1213112100321 is a wasteful number, since it uses less digits than its factorization.

1213112100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874126 (or 9874123 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1213112100321 its reverse (1230012113121), we get a palindrome (2443124213442).

The spelling of 1213112100321 in words is "one trillion, two hundred thirteen billion, one hundred twelve million, one hundred thousand, three hundred twenty-one".