101123122013 has 8 divisors (see below), whose sum is σ = 101208686880. Its totient is φ = 101037596400.

The previous prime is 101123122007. The next prime is 101123122027. The reversal of 101123122013 is 310221321101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101123122013 - 2²⁴ = 101106344797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101123121982 and 101123122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123122213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7189838 + ... + 7203888.

It is an arithmetic number, because the mean of its divisors is an integer number (12651085860).

Almost surely, 2^101123122013 is an apocalyptic number.

It is an amenable number.

101123122013 is a deficient number, since it is larger than the sum of its proper divisors (85564867).

101123122013 is a wasteful number, since it uses less digits than its factorization.

101123122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627.

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

Adding to 101123122013 its reverse (310221321101), we get a palindrome (411344443114).

The spelling of 101123122013 in words is "one hundred one billion, one hundred twenty-three million, one hundred twenty-two thousand, thirteen".