130000434013301 has 16 divisors (see below), whose sum is σ = 136742311332480. Its totient is φ = 123350853542400.

The previous prime is 130000434013271. The next prime is 130000434013357. The reversal of 130000434013301 is 103310434000031.

It is not a de Polignac number, because 130000434013301 - 2²⁶ = 130000366904437 is a prime.

It is a super-2 number, since 2×130000434013301² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000434013361) 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, 13089320 + ... + 20768513.

It is an arithmetic number, because the mean of its divisors is an integer number (8546394458280).

Almost surely, 2^{130000434013301} is an apocalyptic number.

It is an amenable number.

130000434013301 is a deficient number, since it is larger than the sum of its proper divisors (6741877319179).

130000434013301 is a wasteful number, since it uses less digits than its factorization.

130000434013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33859196.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 130000434013301 its reverse (103310434000031), we get a palindrome (233310868013332).

The spelling of 130000434013301 in words is "one hundred thirty trillion, four hundred thirty-four million, thirteen thousand, three hundred one".