101313323110321 has 32 divisors (see below), whose sum is σ = 118847736000000. Its totient is φ = 84569430067200.

The previous prime is 101313323110283. The next prime is 101313323110423. The reversal of 101313323110321 is 123011323313101.

It is a cyclic number.

It is not a de Polignac number, because 101313323110321 - 2¹¹ = 101313323108273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101313323110621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69246255 + ... + 70694203.

It is an arithmetic number, because the mean of its divisors is an integer number (3713991750000).

Almost surely, 2^{101313323110321} is an apocalyptic number.

It is an amenable number.

101313323110321 is a deficient number, since it is larger than the sum of its proper divisors (17534412889679).

101313323110321 is a wasteful number, since it uses less digits than its factorization.

101313323110321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449409.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 101313323110321 its reverse (123011323313101), we get a palindrome (224324646423422).

The spelling of 101313323110321 in words is "one hundred one trillion, three hundred thirteen billion, three hundred twenty-three million, one hundred ten thousand, three hundred twenty-one".