34940101316131 has 16 divisors (see below), whose sum is σ = 40133570716800. Its totient is φ = 30083728536000.

The previous prime is 34940101316129. The next prime is 34940101316149. The reversal of 34940101316131 is 13161310104943.

It is a cyclic number.

It is not a de Polignac number, because 34940101316131 - 2¹ = 34940101316129 is a prime.

It is a super-2 number, since 2×34940101316131² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34940101317131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22079970 + ... + 23609431.

It is an arithmetic number, because the mean of its divisors is an integer number (2508348169800).

Almost surely, 2^{34940101316131} is an apocalyptic number.

34940101316131 is a deficient number, since it is larger than the sum of its proper divisors (5193469400669).

34940101316131 is a wasteful number, since it uses less digits than its factorization.

34940101316131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45693090.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 34940101316131 in words is "thirty-four trillion, nine hundred forty billion, one hundred one million, three hundred sixteen thousand, one hundred thirty-one".