101023321312113 has 4 divisors (see below), whose sum is σ = 134697761749488. Its totient is φ = 67348880874740.

The previous prime is 101023321312103. The next prime is 101023321312153. The reversal of 101023321312113 is 311213123320101.

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.

It is a cyclic number.

It is not a de Polignac number, because 101023321312113 - 2³⁰ = 101022247570289 is a prime.

It is a super-2 number, since 2×101023321312113² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101023321312103) 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, 16837220218683 + ... + 16837220218688.

It is an arithmetic number, because the mean of its divisors is an integer number (33674440437372).

Almost surely, 2^{101023321312113} is an apocalyptic number.

It is an amenable number.

101023321312113 is a deficient number, since it is larger than the sum of its proper divisors (33674440437375).

101023321312113 is an equidigital number, since it uses as much as digits as its factorization.

101023321312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33674440437374.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101023321312113 its reverse (311213123320101), we get a palindrome (412236444632214).

The spelling of 101023321312113 in words is "one hundred one trillion, twenty-three billion, three hundred twenty-one million, three hundred twelve thousand, one hundred thirteen".