34011313130511 has 32 divisors (see below), whose sum is σ = 52952408805120. Its totient is φ = 21548336638752.

The previous prime is 34011313130467. The next prime is 34011313130551. The reversal of 34011313130511 is 11503131311043.

34011313130511 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 3 + 13 + 130 + 511 = 666.

It is not a de Polignac number, because 34011313130511 - 2⁶ = 34011313130447 is a prime.

It is a super-2 number, since 2×34011313130511² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011313130551) 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, 395833305 + ... + 395919218.

It is an arithmetic number, because the mean of its divisors is an integer number (1654762775160).

Almost surely, 2^{34011313130511} is an apocalyptic number.

34011313130511 is a deficient number, since it is larger than the sum of its proper divisors (18941095674609).

34011313130511 is a wasteful number, since it uses less digits than its factorization.

34011313130511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791752612 (or 791752606 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 34011313130511 its reverse (11503131311043), we get a palindrome (45514444441554).

The spelling of 34011313130511 in words is "thirty-four trillion, eleven billion, three hundred thirteen million, one hundred thirty thousand, five hundred eleven".