34124456302131 has 8 divisors (see below), whose sum is σ = 48999219305680. Its totient is φ = 20999665416672.

The previous prime is 34124456302117. The next prime is 34124456302159. The reversal of 34124456302131 is 13120365442143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34124456302131 - 2⁶ = 34124456302067 is a prime.

It is a super-2 number, since 2×34124456302131² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 874986059029 = 34124456302131 / (3 + 4 + 1 + 2 + 4 + 4 + 5 + 6 + 3 + 0 + 2 + 1 + 3 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34124456302131.

It is not an unprimeable number, because it can be changed into a prime (34124456302331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437493029476 + ... + 437493029553.

It is an arithmetic number, because the mean of its divisors is an integer number (6124902413210).

Almost surely, 2^{34124456302131} is an apocalyptic number.

34124456302131 is a deficient number, since it is larger than the sum of its proper divisors (14874763003549).

34124456302131 is a wasteful number, since it uses less digits than its factorization.

34124456302131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874986059045.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 34124456302131 in words is "thirty-four trillion, one hundred twenty-four billion, four hundred fifty-six million, three hundred two thousand, one hundred thirty-one".