34131413123 has 2 divisors, whose sum is σ = 34131413124. Its totient is φ = 34131413122.

The previous prime is 34131413101. The next prime is 34131413167. The reversal of 34131413123 is 32131413143.

It is a weak prime.

It is an emirp because it is prime and its reverse (32131413143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34131413123 - 2¹⁶ = 34131347587 is a prime.

It is a super-2 number, since 2×34131413123² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34131413092 and 34131413101.

It is not a weakly prime, because it can be changed into another prime (34131413023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065706561 + 17065706562.

It is an arithmetic number, because the mean of its divisors is an integer number (17065706562).

Almost surely, 2^34131413123 is an apocalyptic number.

34131413123 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131413123 is an equidigital number, since it uses as much as digits as its factorization.

34131413123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

Adding to 34131413123 its reverse (32131413143), we get a palindrome (66262826266).

The spelling of 34131413123 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirteen thousand, one hundred twenty-three".