10343312313131 has 16 divisors (see below), whose sum is σ = 12108039702528. Its totient is φ = 8650778875200.

The previous prime is 10343312313121. The next prime is 10343312313143. The reversal of 10343312313131 is 13131321334301.

It is a happy number.

It is not a de Polignac number, because 10343312313131 - 2⁶ = 10343312313067 is a prime.

It is a super-2 number, since 2×10343312313131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10343312313094 and 10343312313103.

It is not an unprimeable number, because it can be changed into a prime (10343312313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17039330 + ... + 17635911.

It is an arithmetic number, because the mean of its divisors is an integer number (756752481408).

Almost surely, 2^{10343312313131} is an apocalyptic number.

10343312313131 is a deficient number, since it is larger than the sum of its proper divisors (1764727389397).

10343312313131 is an equidigital number, since it uses as much as digits as its factorization.

10343312313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34676282.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 10343312313131 its reverse (13131321334301), we get a palindrome (23474633647432).

The spelling of 10343312313131 in words is "ten trillion, three hundred forty-three billion, three hundred twelve million, three hundred thirteen thousand, one hundred thirty-one".