101322232220313 has 256 divisors, whose sum is σ = 177681877632000. Its totient is φ = 56521093939200.

The previous prime is 101322232220267. The next prime is 101322232220357. The reversal of 101322232220313 is 313022232223101.

101322232220313 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 2 + 2 + 322 + 20 + 313 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-101322232220313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101322232220213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5887738053 + ... + 5887755261.

It is an arithmetic number, because the mean of its divisors is an integer number (694069834500).

Almost surely, 2^{101322232220313} is an apocalyptic number.

101322232220313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101322232220313 is a deficient number, since it is larger than the sum of its proper divisors (76359645411687).

101322232220313 is a wasteful number, since it uses less digits than its factorization.

101322232220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17705 (or 17699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101322232220313 its reverse (313022232223101), we get a palindrome (414344464443414).

The spelling of 101322232220313 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred thirty-two million, two hundred twenty thousand, three hundred thirteen".