34242132513131 has 16 divisors (see below), whose sum is σ = 34704510357504. Its totient is φ = 33782375001024.

The previous prime is 34242132513107. The next prime is 34242132513143. The reversal of 34242132513131 is 13131523124243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34242132513131 - 2⁶ = 34242132513067 is a prime.

It is a super-2 number, since 2×34242132513131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34242132513091 and 34242132513100.

It is not an unprimeable number, because it can be changed into a prime (34242132513181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57313910 + ... + 57908276.

It is an arithmetic number, because the mean of its divisors is an integer number (2169031897344).

Almost surely, 2^{34242132513131} is an apocalyptic number.

34242132513131 is a deficient number, since it is larger than the sum of its proper divisors (462377844373).

34242132513131 is a wasteful number, since it uses less digits than its factorization.

34242132513131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596570.

The product of its digits is 51840, while the sum is 35.

Adding to 34242132513131 its reverse (13131523124243), we get a palindrome (47373655637374).

The spelling of 34242132513131 in words is "thirty-four trillion, two hundred forty-two billion, one hundred thirty-two million, five hundred thirteen thousand, one hundred thirty-one".