34131122411331 has 16 divisors (see below), whose sum is σ = 49740193019520. Its totient is φ = 20645977043520.

The previous prime is 34131122411291. The next prime is 34131122411339. The reversal of 34131122411331 is 13311422113143.

It is a happy number.

It is not a de Polignac number, because 34131122411331 - 2²⁶ = 34131055302467 is a prime.

It is a super-2 number, since 2×34131122411331² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34131122411339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988774746 + ... + 988809263.

It is an arithmetic number, because the mean of its divisors is an integer number (3108762063720).

Almost surely, 2^{34131122411331} is an apocalyptic number.

34131122411331 is a deficient number, since it is larger than the sum of its proper divisors (15609070608189).

34131122411331 is a wasteful number, since it uses less digits than its factorization.

34131122411331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977584546.

The product of its digits is 5184, while the sum is 30.

Adding to 34131122411331 its reverse (13311422113143), we get a palindrome (47442544524474).

The spelling of 34131122411331 in words is "thirty-four trillion, one hundred thirty-one billion, one hundred twenty-two million, four hundred eleven thousand, three hundred thirty-one".