101311120321031 has 16 divisors (see below), whose sum is σ = 108380757751200. Its totient is φ = 94366870760448.

The previous prime is 101311120321007. The next prime is 101311120321057. The reversal of 101311120321031 is 130123021113101.

It is a cyclic number.

It is not a de Polignac number, because 101311120321031 - 2⁶ = 101311120320967 is a prime.

It is a super-3 number, since 3×101311120321031³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101311120320994 and 101311120321012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311120321001) 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, 30232550 + ... + 33416003.

It is an arithmetic number, because the mean of its divisors is an integer number (6773797359450).

Almost surely, 2^{101311120321031} is an apocalyptic number.

101311120321031 is a deficient number, since it is larger than the sum of its proper divisors (7069637430169).

101311120321031 is a wasteful number, since it uses less digits than its factorization.

101311120321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63649538.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101311120321031 its reverse (130123021113101), we get a palindrome (231434141434132).

The spelling of 101311120321031 in words is "one hundred one trillion, three hundred eleven billion, one hundred twenty million, three hundred twenty-one thousand, thirty-one".