101112310133321 has 8 divisors (see below), whose sum is σ = 101486422001544. Its totient is φ = 100738263628800.

The previous prime is 101112310133309. The next prime is 101112310133333. The reversal of 101112310133321 is 123331013211101.

It is an interprime number because it is at equal distance from previous prime (101112310133309) and next prime (101112310133333).

It can be written as a sum of positive squares in 4 ways, for example, as 269823108025 + 100842487025296 = 519445^2 + 10042036^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112310133321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112310183321) 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, 13240280 + ... + 19430121.

It is an arithmetic number, because the mean of its divisors is an integer number (12685802750193).

Almost surely, 2^{101112310133321} is an apocalyptic number.

It is an amenable number.

101112310133321 is a deficient number, since it is larger than the sum of its proper divisors (374111868223).

101112310133321 is a wasteful number, since it uses less digits than its factorization.

101112310133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32681851.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 101112310133321 its reverse (123331013211101), we get a palindrome (224443323344422).

The spelling of 101112310133321 in words is "one hundred one trillion, one hundred twelve billion, three hundred ten million, one hundred thirty-three thousand, three hundred twenty-one".