34302220123131 has 40 divisors (see below), whose sum is σ = 52165710144240. Its totient is φ = 22456556059392.

The previous prime is 34302220123103. The next prime is 34302220123147. The reversal of 34302220123131 is 13132102220343.

34302220123131 is a `hidden beast` number, since 3 + 4 + 302 + 2 + 201 + 23 + 131 = 666.

It is not a de Polignac number, because 34302220123131 - 2¹⁵ = 34302220090363 is a prime.

It is a super-2 number, since 2×34302220123131² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34302220123095 and 34302220123104.

It is not an unprimeable number, because it can be changed into a prime (34302220123231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647775 + ... + 8308071.

It is an arithmetic number, because the mean of its divisors is an integer number (1304142753606).

Almost surely, 2^{34302220123131} is an apocalyptic number.

34302220123131 is a deficient number, since it is larger than the sum of its proper divisors (17863490021109).

34302220123131 is an equidigital number, since it uses as much as digits as its factorization.

34302220123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661305 (or 7661296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34302220123131 its reverse (13132102220343), we get a palindrome (47434322343474).

The spelling of 34302220123131 in words is "thirty-four trillion, three hundred two billion, two hundred twenty million, one hundred twenty-three thousand, one hundred thirty-one".