123100001321 has 16 divisors (see below), whose sum is σ = 134787457728. Its totient is φ = 111495628800.

The previous prime is 123100001317. The next prime is 123100001393.

123100001321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123100001321 - 2² = 123100001317 is a prime.

It is a super-3 number, since 3×123100001321³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123100001296 and 123100001305.

It is not an unprimeable number, because it can be changed into a prime (123100006321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9290261 + ... + 9303501.

It is an arithmetic number, because the mean of its divisors is an integer number (8424216108).

Almost surely, 2^123100001321 is an apocalyptic number.

123100001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123100001321 is a deficient number, since it is larger than the sum of its proper divisors (11687456407).

123100001321 is a wasteful number, since it uses less digits than its factorization.

123100001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16312.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 12310000 and 1321, that added together give a palindrome (12311321).

The spelling of 123100001321 in words is "one hundred twenty-three billion, one hundred million, one thousand, three hundred twenty-one".