34131143133031 has 32 divisors (see below), whose sum is σ = 41591679316992. Its totient is φ = 27341288747520.

The previous prime is 34131143133023. The next prime is 34131143133037. The reversal of 34131143133031 is 13033134113143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34131143133031 - 2³ = 34131143133023 is a prime.

It is a super-2 number, since 2×34131143133031² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34131143132984 and 34131143133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131143133037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18412305 + ... + 20181061.

It is an arithmetic number, because the mean of its divisors is an integer number (1299739978656).

Almost surely, 2^{34131143133031} is an apocalyptic number.

34131143133031 is a deficient number, since it is larger than the sum of its proper divisors (7460536183961).

34131143133031 is a wasteful number, since it uses less digits than its factorization.

34131143133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769919.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 34131143133031 its reverse (13033134113143), we get a palindrome (47164277246174).

The spelling of 34131143133031 in words is "thirty-four trillion, one hundred thirty-one billion, one hundred forty-three million, one hundred thirty-three thousand, thirty-one".