101122321313 has 32 divisors (see below), whose sum is σ = 115544499840. Its totient is φ = 87824056320.

The previous prime is 101122321283. The next prime is 101122321351. The reversal of 101122321313 is 313123221101.

It is a happy number.

It is not a de Polignac number, because 101122321313 - 2⁸ = 101122321057 is a prime.

It is a super-2 number, since 2×101122321313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122321373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7174433 + ... + 7188513.

It is an arithmetic number, because the mean of its divisors is an integer number (3610765620).

Almost surely, 2^101122321313 is an apocalyptic number.

101122321313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122321313 is a deficient number, since it is larger than the sum of its proper divisors (14422178527).

101122321313 is a wasteful number, since it uses less digits than its factorization.

101122321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101122321313 its reverse (313123221101), we get a palindrome (414245542414).

The spelling of 101122321313 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred thirteen".