1013212321 has 4 divisors (see below), whose sum is σ = 1105322544. Its totient is φ = 921102100.

The previous prime is 1013212313. The next prime is 1013212327. The reversal of 1013212321 is 1232123101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1232123101 = 11 ⋅112011191.

It is a cyclic number.

It is not a de Polignac number, because 1013212321 - 2³ = 1013212313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013212295 and 1013212304.

It is not an unprimeable number, because it can be changed into a prime (1013212327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46055095 + ... + 46055116.

It is an arithmetic number, because the mean of its divisors is an integer number (276330636).

Almost surely, 2^1013212321 is an apocalyptic number.

1013212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013212321 is a deficient number, since it is larger than the sum of its proper divisors (92110223).

1013212321 is an equidigital number, since it uses as much as digits as its factorization.

1013212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92110222.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1013212321 is about 31830.9962300899. The cubic root of 1013212321 is about 1004.3848519708.

Adding to 1013212321 its reverse (1232123101), we get a palindrome (2245335422).

The spelling of 1013212321 in words is "one billion, thirteen million, two hundred twelve thousand, three hundred twenty-one".