1223310310101 has 64 divisors (see below), whose sum is σ = 2088497018880. Its totient is φ = 709165076400.

The previous prime is 1223310310099. The next prime is 1223310310139. The reversal of 1223310310101 is 1010130133221.

1223310310101 is a `hidden beast` number, since 1 + 22 + 331 + 0 + 310 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 1223310310101 - 2¹ = 1223310310099 is a prime.

It is a super-3 number, since 3×1223310310101³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223310318101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552135 + ... + 1658756.

It is an arithmetic number, because the mean of its divisors is an integer number (32632765920).

Almost surely, 2^{1223310310101} is an apocalyptic number.

1223310310101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1223310310101 is a deficient number, since it is larger than the sum of its proper divisors (865186708779).

1223310310101 is an equidigital number, since it uses as much as digits as its factorization.

1223310310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210946 (or 2210928 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1223310310101 its reverse (1010130133221), we get a palindrome (2233440443322).

The spelling of 1223310310101 in words is "one trillion, two hundred twenty-three billion, three hundred ten million, three hundred ten thousand, one hundred one".