34007631656131 has 8 divisors (see below), whose sum is σ = 38865979133280. Its totient is φ = 29149312774848.

The previous prime is 34007631656059. The next prime is 34007631656143. The reversal of 34007631656131 is 13165613670043.

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

It is not a de Polignac number, because 34007631656131 - 2³⁹ = 33457875842243 is a prime.

It is a super-2 number, since 2×34007631656131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34007631656731) 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, 4536946 + ... + 9412711.

It is an arithmetic number, because the mean of its divisors is an integer number (4858247391660).

Almost surely, 2^{34007631656131} is an apocalyptic number.

34007631656131 is a deficient number, since it is larger than the sum of its proper divisors (4858347477149).

34007631656131 is a wasteful number, since it uses less digits than its factorization.

34007631656131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297933.

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 34007631656131 in words is "thirty-four trillion, seven billion, six hundred thirty-one million, six hundred fifty-six thousand, one hundred thirty-one".