101312311021 has 8 divisors (see below), whose sum is σ = 102740504504. Its totient is φ = 99885208320.

The previous prime is 101312311013. The next prime is 101312311027. The reversal of 101312311021 is 120113213101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7706908521 + 93605402500 = 87789^2 + 305950^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101312311021 - 2³ = 101312311013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101312310986 and 101312311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312311027) 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, 84720 + ... + 458041.

It is an arithmetic number, because the mean of its divisors is an integer number (12842563063).

Almost surely, 2^101312311021 is an apocalyptic number.

It is an amenable number.

101312311021 is a deficient number, since it is larger than the sum of its proper divisors (1428193483).

101312311021 is an equidigital number, since it uses as much as digits as its factorization.

101312311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545391.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101312311021 its reverse (120113213101), we get a palindrome (221425524122).

It can be divided in two parts, 1013123 and 11021, that added together give a square (1024144 = 1012²).

The spelling of 101312311021 in words is "one hundred one billion, three hundred twelve million, three hundred eleven thousand, twenty-one".