34213144131243 has 36 divisors (see below), whose sum is σ = 62080048501744. Its totient is φ = 17773061882400.

The previous prime is 34213144131193. The next prime is 34213144131253.

34213144131243 is a `hidden beast` number, since 3 + 4 + 21 + 314 + 4 + 1 + 312 + 4 + 3 = 666.

34213144131243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34213144131243 - 2¹² = 34213144127147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34213144131198 and 34213144131207.

It is not an unprimeable number, because it can be changed into a prime (34213144131253) 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 35 ways as a sum of consecutive naturals, for example, 2244065848 + ... + 2244081093.

Almost surely, 2^{34213144131243} is an apocalyptic number.

34213144131243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34213144131243 is a deficient number, since it is larger than the sum of its proper divisors (27866904370501).

34213144131243 is a wasteful number, since it uses less digits than its factorization.

34213144131243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488146976 (or 4488146962 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3421314 and 4131243, that added together give a palindrome (7552557).

The spelling of 34213144131243 in words is "thirty-four trillion, two hundred thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, two hundred forty-three".