101130013212321 has 8 divisors (see below), whose sum is σ = 138484342417024. Its totient is φ = 65597846407920.

The previous prime is 101130013212299. The next prime is 101130013212343. The reversal of 101130013212321 is 123212310031101.

It is an interprime number because it is at equal distance from previous prime (101130013212299) and next prime (101130013212343).

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

It is not a de Polignac number, because 101130013212321 - 2³⁸ = 100855135305377 is a prime.

It is a super-4 number, since 4×101130013212321⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101130013212521) 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, 455540599945 + ... + 455540600166.

It is an arithmetic number, because the mean of its divisors is an integer number (17310542802128).

Almost surely, 2^{101130013212321} is an apocalyptic number.

It is an amenable number.

101130013212321 is a deficient number, since it is larger than the sum of its proper divisors (37354329204703).

101130013212321 is an equidigital number, since it uses as much as digits as its factorization.

101130013212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911081200151.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101130013212321 its reverse (123212310031101), we get a palindrome (224342323243422).

The spelling of 101130013212321 in words is "one hundred one trillion, one hundred thirty billion, thirteen million, two hundred twelve thousand, three hundred twenty-one".