10213121313331 has 8 divisors (see below), whose sum is σ = 10357035107328. Its totient is φ = 10069209381000.

The previous prime is 10213121313301. The next prime is 10213121313341. The reversal of 10213121313331 is 13331312131201.

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 10213121313331 - 2⁹ = 10213121312819 is a prime.

It is a super-2 number, since 2×10213121313331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10213121313296 and 10213121313305.

It is not an unprimeable number, because it can be changed into a prime (10213121313301) 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, 13526526 + ... + 14261596.

It is an arithmetic number, because the mean of its divisors is an integer number (1294629388416).

Almost surely, 2^{10213121313331} is an apocalyptic number.

10213121313331 is a deficient number, since it is larger than the sum of its proper divisors (143913793997).

10213121313331 is an equidigital number, since it uses as much as digits as its factorization.

10213121313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930833.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10213121313331 its reverse (13331312131201), we get a palindrome (23544433444532).

The spelling of 10213121313331 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-one".