101122013213 has 4 divisors (see below), whose sum is σ = 108900629628. Its totient is φ = 93343396800.

The previous prime is 101122013207. The next prime is 101122013227. The reversal of 101122013213 is 312310221101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312310221101 = 29 ⋅10769317969.

It can be written as a sum of positive squares in 2 ways, for example, as 8050037284 + 93071975929 = 89722^2 + 305077^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122013213 - 2⁶ = 101122013149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122013191 and 101122013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122013273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3889308188 + ... + 3889308213.

It is an arithmetic number, because the mean of its divisors is an integer number (27225157407).

Almost surely, 2^101122013213 is an apocalyptic number.

101122013213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122013213 is a deficient number, since it is larger than the sum of its proper divisors (7778616415).

101122013213 is an equidigital number, since it uses as much as digits as its factorization.

101122013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778616414.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101122013213 its reverse (312310221101), we get a palindrome (413432234314).

The spelling of 101122013213 in words is "one hundred one billion, one hundred twenty-two million, thirteen thousand, two hundred thirteen".